G. Papadopoulos

King's College London, Londinium, England, United Kingdom

Are you G. Papadopoulos?

Claim your profile

Publications (98)380.85 Total impact

  • M. Akyol, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to 6-dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved by and the geometry of all supersymmetric backgrounds. Then two applications are described to systems that exhibit superconformal symmetry. The first is the proof that some 6-dimensional black hole horizons are locally isometric to $AdS_3\times \Sigma^3$, where $\Sigma^3$ is diffeomeorphic to $S^3$. The second one is a description of all supersymmetric solutions of 6-dimensional (1,0) superconformal theories and in particular of their brane solitons.
    Classical and Quantum Gravity 04/2014; 31(12). · 3.56 Impact Factor
  • M. Akyol, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We solve the Killing spinor equations of 6-dimensional (1,0) superconformal theories which include hyper-multiplets in all cases. We show that the solutions preserve 1,2,3,4 and 8 supersymmetries. We find models with self-dual string solitons which are smooth and supported by instantons with an arbitrary gauge group, and 3-brane solitons as expected from the M-brane intersection rules.
    07/2013;
  • Source
    U. Gran, J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We show that the number of supersymmetries of IIB black hole horizons is N=2 N_- + 2 index(D_\lambda), where index(D_\lambda) is the index of the Dirac operator twisted with the line bundle \lambda^{1/2} of IIB scalars, and N_- is the dimension of the kernel of a horizon Dirac operator which depends on IIB fluxes. Therefore, all IIB horizons preserve an even number of supersymmetries. In addition if the horizons have non-trivial fluxes and N_- is nonzero, then index(D_\lambda) is non-negative, and the horizons admit an sl(2,R) symmetry subalgebra. This provides evidence that all such horizons have an AdS/CFT dual. Furthermore if the orbits of sl(2,R) are two-dimensional, the IIB horizons are warped products AdS_2 X S.
    Journal of High Energy Physics 06/2013; 2013(5). · 5.62 Impact Factor
  • Source
    U. Gran, J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We solve the Killing spinor equations for all near-horizon IIB geometries which preserve at least one supersymmetry. We show that generic horizon sections are 8-dimensional almost Hermitian spin${}_c$ manifolds. Special cases include horizon sections with a $Spin(7)$ structure and those for which the Killing spinor is pure. We also explain how the common sector horizons and the horizons with only 5-form flux are included in our general analysis. We investigate several special cases mainly focusing on the horizons with constant scalars admitting a pure Killing spinor and find that some of these exhibit a generalization of the 2-SCYT condition that arises in the horizons with 5-form fluxes only. We use this to construct new examples of near-horizon geometries with both 3-form and 5-form fluxes.
    Classical and Quantum Gravity 04/2013; · 3.56 Impact Factor
  • Source
    G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We find under some mild assumptions that the most general potential of 1-dimensional conformal systems with time independent couplings is expressed as $V=V_0+V_1$, where $V_0$ is a homogeneous function with respect to a homothetic motion in configuration space and $V_1$ is determined from an equation with source a homothetic potential. Such systems admit at most an $SL(2,\bR)$ conformal symmetry which, depending on the couplings, is embedded in Diff(R)$ in three different ways. In one case, $SL(2,\bR)$ is also embedded in Diff(S^1). Examples of such models include those with potential $V=\alpha x^2+\beta x^{-2}$ for arbitrary couplings $\alpha$ and $\beta$, the Calogero models with harmonic oscillator couplings and non-linear models with suitable metrics and potentials. In addition, we give the conditions on the couplings for a class of gauge theories to admit a $SL(2,\bR)$ conformal symmetry. We present examples of such systems with general gauge groups and global symmetries that include the isometries of $AdS_2 x S^3$ and $AdS_2 x S^3 x S^3$ which arise as backgrounds in $AdS_2/CFT_1$.
    Classical and Quantum Gravity 10/2012; 30(7). · 3.56 Impact Factor
  • Source
    Mehmet Akyol, George Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We solve the Killing spinor equations of 6-dimensional (1,0) superconformal theories in all cases. In particular, we derive the conditions on the fields imposed by the Killing spinor equations and demonstrate that these depend on the isotropy group of the Killing spinors. We focus on the models proposed by Samtleben et al in \cite{ssw} and find that there are solutions preserving 1,2, 4 and 8 supersymmetries. We also explore the solutions which preserve 4 supersymmetries and find that many models admit string and 3-brane solitons as expected from the M-brane intersection rules. The string solitons are smooth regulated by the moduli of instanton configurations.
    Journal of High Energy Physics 04/2012; 2012(7). · 5.62 Impact Factor
  • Source
    M Akyol, G Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We show that the supersymmetric near horizon black hole geometries of six-dimensional supergravity coupled to any number of scalar and tensor multiplets are either locally AdS3 × Σ3, where Σ3 is a homology 3-sphere, or , where is a 4-manifold whose geometry depends on the hypermultiplet scalars. In both cases, we find that the tensorini multiplet scalars are constant and the associated 3-form field strengths vanish. We also demonstrate that the AdS3 × Σ3 horizons preserve two, four and eight supersymmetries. For horizons with four supersymmetries, Σ3 is in addition a non-trivial circle fibration over a topological 2-sphere. The near horizon geometries preserving eight supersymmetries are locally isometric to either AdS3 × S3 or R1, 1 × T4. Moreover, we show that the horizons preserve one, two and four supersymmetries and the geometry of is Riemann, Kähler and hyper-Kähler, respectively.
    Classical and Quantum Gravity 02/2012; 29(5):055002. · 3.56 Impact Factor
  • Source
    G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We determine the geometry of the target spaces of supersymmetric non-relativistic particles with torsion and magnetic couplings, and with symmetries generated by the fundamental forms of G-structures for $G= U(n), SU(n), Sp(n), Sp(n)\cdot Sp(1), G_2$ and $Spin(7)$. We find that the Killing-Yano equation, which arises as a condition for the invariance of the worldline action, does not always determine the torsion coupling uniquely in terms of the metric and fundamental forms. We show that there are several connections with skew-symmetric torsion for $G=U(n), SU(n)$ and $G_2$ that solve the invariance conditions. We describe all these compatible connections for each of the $G$-structures and explain the geometric nature of the couplings.
    Classical and Quantum Gravity 11/2011; 29(11). · 3.56 Impact Factor
  • Source
    U.gran, J.gutowski, G.papadopoulos, D.roest
    [Show abstract] [Hide abstract]
    ABSTRACT: We review some aspects of the spinorial geometry approach to the classification of supersymmetric solutions of supergravity theories. In particular, we explain how spinorial geometry can be used to express the Killing spinor equations in terms of a linear system for the fluxes and the geometry of spacetime. The solutions of this linear system express some of the fluxes in terms of the spacetime geometry and determine the conditions on the spacetime geometry imposed by supersymmetry. We also present some of the recent applications like the classification of maximally supersymmetric G-backgrounds in IIB, this includes the most general pp-wave solution preserving 1/2 supersymmetry, and the classification of N = 31 backgrounds in ten and eleven dimensions.
    Modern Physics Letters A 11/2011; 22(01). · 1.11 Impact Factor
  • Source
    U. Gran, J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We utilize the classification of IIB horizons with 5-form flux to present a unified description for the geometry of AdS_n, n=3,5,7 solutions. In particular, we show that all such backgrounds can be constructed from 8-dimensional 2-strong Calabi-Yau geometries with torsion which admit some additional isometries. We explore the geometry of AdS_3 and AdS_5 solutions but we do not find AdS_7 solutions.
    Classical and Quantum Gravity 10/2011; · 3.56 Impact Factor
  • Source
    J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We determine the geometry of all static black hole horizons of M-theory preserving at least one supersymmetry. We demonstrate that all such horizons are either warped products R^{1,1} *_w S or AdS_2 *_w S, where S admits an appropriate Spin(7) or SU(4) structure respectively; and we derive the conditions imposed by supersymmetry on these structures. We show that for electric static horizons with Spin(7) structure, the near horizon geometry is a product R^{1,1} * S, where S is a compact Spin(7) holonomy manifold. For electric static solutions with SU(4) structure, we show that the horizon section S is a circle fibration over an 8-dimensional Kahler manifold which satisfies an additional condition involving the Ricci scalar and the length of the Ricci tensor. Solutions include AdS_2 * S^3 * CY_6 as well as many others constructed from taking the 8-dimensional Kahler manifold to be a product of Kahler-Einstein and Calabi-Yau spaces.
    Journal of High Energy Physics 06/2011; · 5.62 Impact Factor
  • Source
    U. Gran, J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We classify under some assumptions the IIB black hole horizons with 5-form flux preserving more than 2 supersymmetries. We find that the spatial horizon sections with non-vanishing flux preserving 4 supersymmetries are locally isometric either to S^1 * S^3 * T^4 or to S^1 * S^3 * K_3 and the associated near horizon geometries are locally isometric to AdS_3 * S^3 * T^4 and AdS_3 * S^3 * K_3$, respectively. The near horizon geometries preserving more than 4 supersymmetries are locally isometric to R^{1,1} * T^8.
    Journal of High Energy Physics 04/2011; 9. · 5.62 Impact Factor
  • Source
    M Akyol, G Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We solve the Killing spinor equations of six-dimensional (1, 0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The isotropy groups of Killing spinors are , , , Sp(1)(2), U(1)(4) and {1}(8), where in parenthesis is the number of supersymmetries preserved in each case. If the isotropy group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion given by the 3-form field strength of the gravitational multiplet. The associated vector field is Killing and the 3-form is determined in terms of the geometry of spacetime. The case admits a descendant solution preserving three out of four supersymmetries due to the hyperini Killing spinor equation. If the isotropy group is compact, the spacetime admits a natural frame constructed from 1-form spinor bi-linears. In the Sp(1) and U(1) cases, the spacetime admits three and four parallel 1-forms with respect to the connection with torsion, respectively. The associated vector fields are Killing and under some additional restrictions the spacetime is a principal bundle with fibre a Lorentzian Lie group. The conditions imposed by the Killing spinor equations on all other fields are also determined.
    Classical and Quantum Gravity 04/2011; 28(10):105001. · 3.56 Impact Factor
  • Source
    U. Gran, J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We investigate the near horizon geometry of IIB supergravity black holes with non-vanishing 5-form flux preserving at least two supersymmetries. We demonstrate that there are three classes of solutions distinguished by the choice of Killing spinors. We find that the spatial horizon sections of the class of solutions with an SU(4) invariant pure Killing spinor are hermitian manifolds and admit a hidden Kahler with torsion (KT) geometry compatible with the SU(4) structure. Moreover the Bianchi identity of the 5-form, which also implies the field equations, can be expressed in terms of the torsion H as d(\omega\wedge H)=\partial\bar\partial \omega^2=0, where omega is a Hermitian form. We give several examples of near horizon geometries which include group manifolds, group fibrations over KT manifolds and uplifted geometries of lower dimensional black holes. Furthermore, we show that the class of solutions associated with a Spin(7) invariant spinor is locally a product R^{1,1} x S, where S is a holonomy Spin(7) manifold.
    Journal of High Energy Physics 01/2011; 2011(5). · 5.62 Impact Factor
  • Source
    G Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We simplify the classification of supersymmetric solutions with compact holonomy of the Killing spinor equations of heterotic supergravity using the field equations and the additional assumption that the 3-form flux is closed. We determine all the fractions of supersymmetry that the solutions preserve and find that there is a restriction on the number of supersymmetries which depends on the isometry group of the background. We examine the geometry of spacetime in all cases. We find that the supersymmetric solutions of heterotic supergravity are associated with a large number of geometric structures which include seven-dimensional manifolds with G2 structure, six-dimensional complex and almost complex manifolds, and four-dimensional hyper-Kähler, Kähler and anti-self-dual Weyl manifolds.
    Classical and Quantum Gravity 04/2010; 27(12):125008. · 3.56 Impact Factor
  • Source
    J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: All supersymmetric , D = 4 supergravity horizons have toroidal or spherical topology, irrespective of whether the black hole preserves any supersymmetry.
    Journal of High Energy Physics 01/2010; 2010(11):1-18. · 5.62 Impact Factor
  • Source
    J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We show that the supersymmetric near horizon geometry of heterotic black holes is either an AdS_3 fibration over a 7-dimensional manifold which admits a G_2 structure compatible with a connection with skew-symmetric torsion, or it is a product R^{1,1} * S^8, where S^8 is a holonomy Spin(7) manifold, preserving 2 and 1 supersymmetries respectively. Moreover, we demonstrate that the AdS_3 class of heterotic horizons can preserve 4, 6 and 8 supersymmetries provided that the geometry of the base space is further restricted. Similarly R^{1,1} * S^8 horizons with extended supersymmetry are products of R^{1,1} with special holonomy manifolds. We have also found that the heterotic horizons with 8 supersymmetries are locally isometric to AdS_3 * S^3 * T^4, AdS_3 * S^3 * K_3 or R^{1,1} * T^4 * K_3, where the radii of AdS_3 and S^3 are equal and the dilaton is constant.
    Journal of High Energy Physics 12/2009; 2010(7). · 5.62 Impact Factor
  • Source
    G Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We describe all supersymmetric solutions of the heterotic string which preserve eight supersymmetries and show that these are distinguished by the holonomy, , of the connection, , with skew-symmetric torsion. The solutions are principal bundles over a four-dimensional hyper-Kähler manifold equipped with an anti-self-dual connection and fibre group G which has a Lie algebra, or . Some of the solutions have the interpretation as 5-branes wrapped on G with transverse space any hyper-Kähler four-dimensional manifold. We construct new solutions for and show that they are characterized by three integers and have continuous moduli. There is also a smooth family in this class with one asymptotic region and the dilaton is bounded everywhere on the spacetime. We also demonstrate that the worldvolume theory of the backgrounds with holonomy SU(2) can be understood in terms of gauged WZW models for which the gauge fields are composite. The solutions are superpositions of fundamental strings and pp-waves in flat space, which may also include a null rotation. The heterotic string backgrounds which preserve eight supersymmetries are Lorentzian group manifolds.
    Classical and Quantum Gravity 06/2009; 26(13):135001. · 3.56 Impact Factor
  • Source
    U. Gran, J. Gutowski, G. Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We show that all IIB backgrounds with strictly 28 supersymmetries are locally isometric to the plane wave solution of arXiv:hep-th/0206195. Moreover, we demonstrate that all solutions with more than 26 supersymmetries and only 5-form flux are maximally supersymmetric. The N=28 plane wave solution is a superposition of the maximally supersymmetric IIB plane wave with a heterotic string solution. We investigate the propagation of strings in this background, find the spectrum and give the string light-cone Hamiltonian. Comment: 30 pages, typos corrected
    Journal of High Energy Physics 02/2009; · 5.62 Impact Factor
  • Source
    Ulf Gran, George Papadopoulos
    [Show abstract] [Hide abstract]
    ABSTRACT: We outline the solution of the Killing spinor equations of the heterotic supergravity. In addition, we describe the classification of all half supersymmetric solutions.
    12/2008;

Publication Stats

3k Citations
380.85 Total Impact Points

Institutions

  • 1987–2013
    • King's College London
      • Department of Mathematics
      Londinium, England, United Kingdom
  • 2008
    • Chalmers University of Technology
      • Department of Fundamental Physics
      Göteborg, Vaestra Goetaland, Sweden
  • 1993–2006
    • University of Cambridge
      • Department of Applied Mathematics and Theoretical Physics
      Cambridge, England, United Kingdom
    • University of Melbourne
      • School of Physics
      Melbourne, Victoria, Australia
  • 1997
    • Stanford University
      • Department of Physics
      Palo Alto, California, United States
  • 1996
    • University of Groningen
      • Centre for Theoretical Physics (CTN)
      Groningen, Groningen, Netherlands
  • 1988–1996
    • CERN
      • Physics Department (PH)
      Genève, Geneva, Switzerland
  • 1994
    • Universität Hamburg
      • II. Institut für Theoretische Physik
      Hamburg, Hamburg, Germany
  • 1986–1992
    • Imperial College London
      • Department of Physics
      Londinium, England, United Kingdom
  • 1991
    • Queen Mary, University of London
      Londinium, England, United Kingdom