Mees de Roo

Mees de Roo
University of Groningen | RUG · Centre for Theoretical Physics (CTN)

PhD

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94
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Introduction
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Publications

Publications (94)
Article
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We construct a "stringy" version of Newton-Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string and the bulk equations of motion in terms of a gravitational potential which is a symmetric tensor with respect to the longitudinal directions of the st...
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The geometric reformulation of Newton’s gravity is known as Newton-Cartan theory. We compare the traditional derivation of this theory with a new, algebraic derivation, based on the gauging of a centrally extended Galilean symmetry algebra. In this comparison the role of the central charge gauge field will be explained. In particular, we show that...
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We quantize the classical gauge theory of N=2 w∞ supergravity and show how the underlying N=2 super-w∞ algebra gets deformed into an N=2 super-W∞ algebra. Both algebras contain the N=2 super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum N=2 WN supergravity theories containing a finite...
Article
We define an iterative procedure to obtain a non-abelian generalization of the Born-Infeld action. This construction is made possible by the use of the severe restrictions imposed by kappa-symmetry. We have calculated all bosonic terms in the action up to terms quartic in the Yang-Mills field strength and all fermion bilinear terms up to terms cubi...
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We study the general deformations of maximal eight-dimensional supergravity by using the embedding tensor approach. The scalar potential induced by these gaugings is determined. Subsequently, by combining duality covariance arguments and algebraic geometry techniques, we find the complete set of critical points of the scalar potential. Remarkably,...
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We show how the Newton–Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e. the centrally extended Galilean algebra. In this gauging procedure several curvature constraints are imposed. These convert the spatial (time) translational symmetries of the algebra into spatial (time) general coordinate transform...
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We construct the N=1 three-dimensional supergravity theory with cosmological, Einstein-Hilbert, Lorentz Chern-Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of supersymmetric adS vacua with the supersymmetric Minkowski vacuum as a limiting case. Linearizing about the Minkowski v...
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We extend a recently proposed formulation of dual gravity to the case of eleven-dimensional supergravity. The supersymmetric action corresponding to this alternative formulation is given, and it is shown that it leads to a set of first-order duality relations from which all second-order equations of motion follow as integrability conditions. On top...
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We show that the Bagger Lambert theory of multiple M2-branes fits into the general construction of maximally supersymmetric gauge theories using the embedding tensor technique. We apply the embedding tensor technique in order to systematically obtain the consistent gaugings of {\cal N}=8 superconformal theories in 2 + 1 dimensions. This leads to th...
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We discuss the horizon structure for Born-Infeld black holes, in the context of Einstein-Born-Infeld gravity. We show that the entropy function formalism agrees with a direct calculation of the entropy. With the entropy function formalism we also obtain the entropy when an axion-dilaton system as well as gravitational derivative corrections are inc...
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Starting from gauged N=8 supergravity in three dimensions we construct actions for multiple membranes by taking the limit to global supersymmetry for different choices of the embedding tensor. This provides a general framework that reproduces many recent results on multiple membrane actions as well as generalisations thereof. As examples we discuss...
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We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the coupling of linearised gravity to matter poses obstructions to the usual construction and comment on possible re...
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In this article we establish that the supersymmetric R2 effective action for the heterotic string, obtained from the supersymmetrisation of the Lorentz Chern-Simons term, is to order α' equivalent modulo field redefinitions to heterotic string effective actions computed by different methods.
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In this letter we establish that the supersymmetric R^2 effective action for the heterotic string, obtained from the supersymmetrisation of the Lorentz Chern-Simons term, is to order $\alpha'$ equivalent modulo field redefinitions to heterotic string effective actions computed by different methods.
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We give a universal SL(2,)-invariant expression for all IIB p-brane actions with p = −1,1,3,5,7,9. The Wess-Zumino terms in the brane actions are determined by requiring (i) target space gauge invariance and (ii) the presence of a single Born-Infeld vector. We find that for p = 7(p = 9) brane actions with these properties only exist for orbits that...
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In this paper we investigate how electromagnetic duality survives derivative corrections to classical non-linear electrodynamics. In particular, we establish that electromagnetic selfduality is satisfied to all orders in α' for the four-point function sector of the four dimensional open string effective action.
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We investigate a class of CSO-gaugings of Script N = 4 supergravity coupled to 6 vector multiplets. Using the CSO-gaugings we do not find a vacuum that is stable against all scalar perturbations at the point where the matter fields are turned off. However, at this point we do find a stable cosmological scaling solution.
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We show that the exisiting supergravity theories in ten dimensions can be extended with extra gauge fields whose rank is equal to the spacetime dimension. These gauge fields have vanishing field strength but nevertheless play an important role in the coupling of supergravity to spacetime filling branes. We discuss the role of these gauge fields i...
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We show that IIA supergravity can be extended with two independent 10-form potentials. These give rise to a single BPS IIA 9-brane. We investigate the bosonic gauge algebra of both IIA and IIB supergravity in the presence of 10-form potentials and point out an intriguing relation with the symmetry algebra $E_{11}$, which has been conjectured to be...
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We calculate the tensions of all half-supersymmetric nine-branes in IIB string theory. In particular, we point out the existence of a solitonic IIB nine-brane. We find that the D9-brane and its duality transformations parametrize a two-dimensional surface in a four-dimensional space. Comment: 12 pages, minor corrections, references added; published...
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We show in the SU(1,1)-covariant formulation that IIB supergravity allows the introduction of a doublet and a quadruplet of ten-form potentials. The Ramond-Ramond ten-form potential which is associated with the SO(32) type-I superstring is in the quadruplet. Our results are consistent with a recently proposed E11 symmetry underlying string theory....
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We perform a group manifold reduction of the dual version of N = 1 d = 10 supergravity to four dimensions. The effects of the 3- and 4-form gauge fields in the resulting gauged N = 4 d = 4 supergravity are studied in particular. The example of the group manifold SU(2) × SU(2) is worked out in detail, and we compare for this case the four-dimensiona...
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We discuss the potential and mass-matrix of gauged N = 4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars. We consider all semi-simple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. Although we fi...
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We construct the derivative corrections to the four-point vertices in the abelian open string effective action to all orders in alpha'. The result is based on the structure of the string four-point function. Supersymmnetry of these vertices is guaranteed by the supersymmetry of the F^4 term in the effective action. By this construction we establish...
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We investigate the scalar potential of gauged N = 4 supergravity with matter. The extremum in the SU(1, 1)/U(1) scalars is obtained for an arbitrary number of matter multiplets. The constraints on the matter scalars are solved in terms of an explicit parametrisation of an SO(6, 6 + n) element. For the case of six matter multiplets we discuss both c...
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We construct the supersymmetric effective action at order alpha'^4 of the abelian open superstring. It includes the alpha'^4 terms in the abelian Born-Infeld action, and in particular the leading derivative correction of the form d^4F^4. Besides linear supersymmetry this sector of the open string effective action also has a nonlinear supersymmetry....
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We discuss the non-abelian Born-Infeld action, including fermions, as a series in α'. We review recent work establishing the complete result to α'2, and its impact on our earlier attempts to derive the Born-Infeld action using κ-symmetry.
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Recently the construction of the non-abelian effective D-brane action was performed through order α'3 including the terms quadratic in the gauginos. This result can be tested by calculating the spectrum in the presence of constant magnetic background fields and comparing it to the string theoretic predictions. This test was already performed for th...
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We construct the order,,. Keywords: Superstrings and Heterotic Strings, D-branes, Supersymmetric Eective
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We construct the order α' 3 terms in the supersymmetric Yang-Mills action in ten dimensions for an arbitrary gauge group. The result can be expressed in terms of the structure constants of the Yang-Mills group, and is therefore independent of abelian factors. The α' 3 invariant obtained here is independent of the α' 2 invariant, and we argue that a...
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We determine the non-abelian Born-Infeld action, including fermions, as it results from the four-point tree-level open superstring scattering amplitudes at order α'2. We find that, after an appropriate field redefinition all terms at this order can be written as a symmetrised trace. We confront this action with the results that follow from kappa-sy...
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We review an iterative construction of the supersymmetric non-abelian Born-Infeld action. We obtain the action through second order in the fieldstrength. Kappa-invariance fixes the ordenings which turn out to deviate from the symmetrized trace proposal.
Article
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We define an iterative procedure to obtain a non-abelian generalization of the Born-Infeld action. This construction is made possible by the use of the severe restrictions imposed by kappa-symmetry. We have calculated all bosonic terms in the action up to terms quartic in the Yang-Mills field strength and all fermion bilinear terms up to terms cubi...
Article
Full-text available
We define an iterative procedure to obtain a non-abelian generalization of the Born-Infeld action. This construction is made possible by the use of the severe restrictions imposed by kappa-symmetry. In this paper we will present all bosonic terms in the action up to terms quartic in the Yang-Mills field strength and all fermion bilinear terms up to...
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We employ T-duality to restrict the tachyon dependence of effective actions for non-BPS D-branes. For the Born-Infeld part the criteria of T-duality and supersymmetry are satisfied by a simple extension of the D-brane Born-Infeld action.
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We consider two inequivalent truncations of the super D9-brane: the “Heterotic” and the “Type I” truncation. Both of them lead to an N = 1 non-linear supersymmetrization of the D = 10 cosmological constant. The propagating degrees of freedom in the Heterotic and Type I truncation are given by the components of a D = 10 vector multiplet and a single...
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The authors construct an extension of the gauge technique to two-dimensional supersymmetric gauge theories. This involves a derivation of the spectral representation of a scalar superpropagator in two dimensions. They apply the method to the massive supersymmetric Schwinger model. In the case that the gauge multiplet mass equals twice that of the m...
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Recently, a geometric model for the confinement of magnetic charges in the context of type II string compactifications was constructed by Greene, Morrison and Vafa. This model assumes the existence of stable magnetic vortices with quantized flux in the low energy theory. However, quantization of flux alone does not imply that the vortex is stable,...
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We construct BPS states in the matrix description of M-theory. Starting from a set of basic M-theory branes, we study pair intersections which preserve supersymmetry. The fractions of the maximal supersymmetry obtained in this way are 1/2, 1/4, 1/8, 3/16 and 1/16. In explicit examples we establish that the matrix BPS states correspond to (intersect...
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We perform a generalised Scherk-Schwarz reduction of the effective action of the heterotic string on T6 to obtain a massive N = 4 supergravity theory in four dimensions. The local symmetry-group of the resulting d = 4 theory includes a Heisenberg group, which is a subgroup of the global O(6,6 + n) obtained in the standard reduction. We show explici...
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We consider intersections in eleven dimensions involving Kaluza-Klein monopoles and Brinkmann waves. Besides these purely gravitational configurations we also construct solutions to the equations of motion that involve additional M2- and M5-branes. The maximal number of independent objects in these intersections is nine, and such maximal configurat...
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We consider intersecting M-brane solutions of supergravity in eleven dimensions. Supersymmetry turns out to be a powerful tool in obtaining such solutions and their generalizations. Comment: 6 pages, Latex, Presented at Supersymmetry and Quantum Field Theory, International Seminar dedicated to the memory of D. V. Volkov, Kharkov, 1997
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We give a classification of all multiple intersections of D-branes in ten dimensions and M-branes in eleven dimensions that correspond to threshold BPS bound states. The residual supersymmetry of these composite branes is determined. By dimensional reduction composite p-branes in lower dimensions can be constructed. We emphasize in dimensions D ⩾ 2...
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We show that a class of extremal four-dimensional supersymmetric “high-branes”, i.e. string and domain wall solutions, can be interpreted as intersections of four ten-dimensional Dirichlet branes. These d = 4 solutions are related, via T-duality in ten dimensions, to the four-dimensional extremal Maxwell/scalar black holes that are characterized by...
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We consider the action, in arbitrary curved background, of the eleven-dimensional five-brane to second order in the curvature of the worldvolume tensor field. We show that this action gives upon double dimensional reduction the action of the Dirichlet four-brane up to the same order. We use this result as a starting point to discuss the structure o...
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We show how the T-duality between D-branes is realized (i) on p-brane solutions (p = 0,…,9) of supergravity and (ii) on the D-brane actions (p = 0,…, 3) that act as source terms for the p-brane solutions. We point out that the presence of a cosmological constant in the IIA theory leads, by the requirement of gauge invariance, to a topological mass...
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We present a version of ten-dimensional IIA supergravity containing a 9-form potential for which the field equations are equivalent to those of the standard, massless, IIA theory for vanishing 10-form field strength, F10, and to those of the ‘massive’ IIA theory for non-vanishing F10. We present a multi 8-brane solution of these equations that gene...
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We reduce the dual version of $D=10$, $N=1$ supergravity coupled to $n$ vector fields to four dimensions, and derive the $SL(2,R)\times O(6,6+n)$ transformations which leave the equations of motion invariant. For $n=0$ $SL(2,R)$ is also a symmetry of the action, but for $n>0$ only those $SL(2,R)$ transformations which act linearly on all fields lea...
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We discuss a realization of the bosonic string as a noncritical W3-string. The relevant noncritical W3-string is characterized by a Liouville sector which is restricted to a (nonunitary) (3, 2) W3 minimal model with central charge contribution cl = −2. Furthermore, the matter sector of this W3-string contains 26 free scalars which realize a critica...
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We investigate the cohomology structure of a general noncritical WN string. We do this by introducing a new basis in the Hilbert space in which the BRST operator splits into a “nested” sum of nilpotent BRST operators. We give explicit details for the case N = 3. In that case the BRST operator Q can be written as the sum of two, mutually anticommuti...
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We perform a classical BRST analysis of the symmetries corresponding to a generic wN-algebra. An essential feature of our method is that we write the wN-algebra in a special basis such that the algebra manifestly has a “nested” set of subalgebras νNN ⊂ νNN−1 ⊂ … ⊂ νN2 ≡ wN where the subalgebra νNi (i = 2,…, N) consists of generators of spin s = {i,...
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We discuss the conditions under which the BRST operator of a W-string an be written as the sum of two operators that are separately nilpotent and anticommute with each other. We illustrate our results with the example of the non-critical W3-string. Furthermore, we apply our results to make a conjecture about a relationship between the spectrum of a...
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We construct the supersymmetric completion of quartic R + R4-actions in the ten-dimensional effective action of the heterotic string. Two invariants, of which the bosonic parts are known from one-loop string amplitude calculations, are obtained. One of these invariants can be generalized to an R + F2 + F4-invariant for supersymmetric Yang-Mills the...
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We perform a systematic investigation of free-scalar realisations of the Zamolodchikov W3 algebra in which the operator product of two spin-three generators contains a non-zero operator of spin four which has vanishing norm. This generalises earlier work where such an operator was required to be absent. By allowing this spin-four null operator we o...
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We construct supersymmetric R+R4-actions in ten dimensions. Two invariants, of which the bosonic parts are known from string amplitude and sigma model calculations, are obtained. One of these invariants can be generalized to an R+F2+F4-invariant for supersymmetric Yang-Mills theory coupled to supergravity. Supersymmetry requires the presence of B ^...
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We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an $N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum $N=2\ W_N$-supergr...
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We present the invariant action for conformal supergravity in ten dimensions. We compare our result to d = 6, N = 2 conformal supergravity, and show that in d = 6 a superconformal invariant based on the Gauss—Bonnet combination must exist. The contributions of the antisymmetric tensor gauge field in d = 10 cannot be completely expressed in terms of...
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We show that the duality transformation relating the two versions of d=10, N=1 supergravity can be extended iteratively to the string effective actions and supersymmetry transformation rules. We present this extended duality transformation explicitly for the quartic effective actions.
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We construct the quartic effective action for the heterotic string using the dual formulation of d=10, N=1 supergravity. We find that the symmetry between the Yang-Mills and gravity sectors which was present in the two-form formulation, also occurs when the six-index gauge field is used.
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15) 81T60 Supersymmetric field theories 83E30 String and superstring theories (See also 81T30) 83E50 Supergravity
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We present the supersymmetric quartic effective action for the heterotic string which follows from the supersymmetrization of the Yang-Mills and Lorentz Chern-Simons forms. This includes all bosonic terms in the action, and all bosonic contributions to the supersymmetry transformation rules, thereby giving all terms to this order which are relevant...
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We construct a supersymmetric extension of the Lorentz and Yang-Mills Chern-Simons terms in ten dimensions. In terms of dimensionful parameters α(Lorentz) and β (Yang-Mills), we obtain the complete O(α) supersymmetrization. Furthermore, we present the leading O(α2) and O(αβ) corrections required by supersymmetry, and conjecture that the result is c...
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We show that there is no mass renormalisation to one-loop order in supersymmetric QED in d=2 and d=3, if the value of the bare gauge multiplet mass equals twice that of the matter multiplet. We discuss the possible origin of this effect.
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It is shown that gauged N=4 supergravity theories with matter can exhibit breaking to N=1, 2, or 3 supersymmetries. Examples are constructed, all of which turn out to have a nonzero cosmological constant.
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An arbitrary number of abelian vector multiplets is coupled to N = 4 supergravity. The resulting action is invariant under global SO(n,6), where n is the number of vector multiplets, and under local SU(4)×U(1) transformations. The scalar fields of the theory parametrize the manifold [SO(n,6)/SO(n)×SO(6)]×[SU(1,1)/U(1)]. The role of the matter field...
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Gauged N = 4 supergravity with an arbitrary number of matter multiplets is constructed from a superconformal starting point. It includes both the SO(4) and SU(4) symmetric N = 4 supergravity theories, and all their gaugings. Noncompact Yang-Mills symmetries may mix the matter and supergravity vector fields. We establish that in matter coupled N = 4...
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The N=4 Yang-Mills multiplet is coupled to N=4 conformal supergravity. The action has a local U(4)×G symmetry, where G is the Yang-Mills gauge group. The action and supersymmetry transformation rules are presented in the Poincaré gauge, and properties of the scalar potential are discussed.
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We analyse the Dyson-Schwinger equations of the photon and electron propagator of massless QED3. Although the perturbation expansion in this theory contains infrared divergences, the Dyson-Schwinger equations admit well-defined solutions. Perturbative infrared divergences are replaced, in the solutions of the Dyson-Schwinger equations, by new param...
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The implicit-function method of constructing phase-factor continuum ambiguities in phase-shift analysis is briefly reviewed, and new numerical examples are given of ambiguities in piN phase shifts at 1997 MeV. Since the ambiguous amplitudes differ by more than 5%, while the corresponding cross sections and polarizations are equal, to better than a...
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We discuss superconformal aspects of supergravity in eleven dimensions. We suggest that the Poincaré theory is obtained by a compensating mechanism using a scalar superfield.
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We present the complete off-shell structure of conformal supergravity in ten dimensions. It is based on 128 + 128 degrees of freedom and its formulation requires differential constraints. We study how these constraints are resolved in four and five dimensions. Covariant conditions are given that restrict conformal supergravity to its on-shell Poinc...
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We construct the supercurrent of the N = 1 supersymmetric Maxwell theory in ten dimensions. It contains 5760 + 5760 components. There exists a submultiplet of 5632 + 5632 components, which is a constrained d = 10 scalar superfield. The remaining 128 + 128 components form an off-shell multiplet with non-local transformation laws. The corresponding m...
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The d=10, N=1 Yang-Mills system is coupled to d=10, N=1 supergravity in a locally scale-invariant way. An analysis of the currents agrees with the Noether coupling results and reveals the existence of two ordinary axial and more low-dimension auxiliary fields. The coupling of the photon Aμ to antisymmetric tensors Aμν is consistent because the Maxw...
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We present the complete structure of extended conformal supergravity for N⩽4. The relation with the graded algebra SU(2, 2|N) and with the multiplet of currents is discussed. The N = 4 superconformal theory has a formulation with local SU(4)×U(1) and rigid SU(1, 1) invariance. We give the linearized invariant actions for all N. For N = 2 we exhibit...
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The transformation laws of chiral (scalar) superfields with arbitrary Weyl weight w are determined for the U(2) superconformal theory. A superconformally invariant density is given for fields with w = 2. For w = 1 it is possible to have smaller irreducible multiplets. The full restriction upon which the chiral superfield becomes reducible is exhibi...
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We discuss the problem of embeddings in non-Abelian gauge theories. The (ir)reducibility of a gauge field configuration is characterized. For the specific case of instanton solutions we derive a practical criterion forSU n. In the general construction of self-dual solutions the reducibility of the gauge field implies certain symmetry conditions on...
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We obtain a geometrical description of the parameter space of instantons of topological charge k in an SU(n) gauge theory. We show how this space is related to a compact convex set of positive matrices. We give a characterization of points in the parameter space which correspond to embeddings. We derive an explicit formula for instantons of charge...
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We discuss some group theoretical properties of Yang-Mills theories. We consider conditions necessary and sufficient to decide if the gauge field is reducible and prove some related theorems. We give criteria for embeddings and work out the case of SU (3) explicitly.
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We construct families of spinless two-particle unitary cross sections that possess a nontrivial discrete phase-shift ambiguity, with in general an infinite number of nonvanishing partial waves. A numerical investigation reveals that some of the previously known finite Crichton ambiguities are merely special cases of the newly constructed examples.
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We prove that for a pure SU(2) Yang-Mills theory, the vanishing of the energy-momentum tensor is equivalent to the (anti) self-duality of the field tensor, if the equations of motion are satisfied.
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We discuss continuation in energy as a method to resolve ambiguities in phase-shift analysis. We show that continuity in energy is not in all cases sufficient to resolve ambiguities, and we give examples of such cases for both spin 0-spin 0 and spin 0-spin ½ scattering.
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In two practical examples (α-3He and α-α scattering) we investigate to what extent the elastic amplitude above the first inelastic threshold, determined from phase-shift analysis, is subject to ambiguity. We find that it is extremely difficult to determine the correct physical amplitude uniquely.
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We show that an elastic scattering amplitute may be defined as an implicit function of the differential cross section. A practical method is given for a numerical investigation of this dependence, both in the elastic and in the inelastic regions. In particular, we consider the case of a polynomial amplitude, and we show that the Crichton ambiguity...
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We discuss a practical method for exploring continuum ambiguities in phase-shift analysis, and we apply our techniques to alphaalpha elastic scattering, above the inelastic threshold. We generate very considerable ambiguity corridors.
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A re-examination of the SPD phase-shift ambiguity is made with a view to understanding certain singular features of the elastic unitarity constraint. An explicit solution of Crichton's equations is presented, and certain features of this solution are displayed graphically. In particular, it is shown that there are two critical values of the D-wave...
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Thesis (doctoral)--Rijksuniversiteit te Groningen, 1974.

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