Richard Corrado

Publications (5)0 Total impact

• Source

  Available from: arxiv.org

  Article: N=1 Field Theories and Fluxes in IIB String Theory

  Richard Corrado, Nick Halmagyi
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  ABSTRACT: Deformation of N=2 quiver gauge theories by adjoint masses leads to fixed manifolds of N=1 superconformal field theories. We elaborate on the role of the complex three-form flux in the IIB duals to these fixed point theories, primarily using field theory techniques. We study the moduli space at a fixed point and find that it is either the two (complex) dimensional ALE space or three-dimensional generalized conifold, depending on the type of three-form flux that is present. We describe the exactly marginal operators that parameterize the fixed manifolds and find the operators which preserve the dimension of the moduli space. We also study deformations by arbitrary superpotentials W(\Phi_i) for the adjoints. We invoke the a-theorem to show that there are no dangerously irrelevant operators like Tr\Phi_i^{k+1}, k>2 in the N=2 quiver gauge theories. The moduli space of the IR fixed point theory generally contains orbifold singularities if W(\Phi_i) does not give a mass to the adjoints. Finally we examine some nonconformal N=1 quiver theories. We find evidence that the moduli space at the endpoint of a Seiberg duality cascade is always a three-dimensional generalized conifold. In general, the low-energy theory receives quantum corrections. In several non-cascading theories we find that the moduli space is a generalized conifold realized as a monodromic fibration.
  02/2004;
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  Available from: arxiv.org

  Article: Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models

  Sujay K. Ashok, Richard Corrado, Nick Halmagyi, Kristian D. Kennaway, Christian Romelsberger
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  ABSTRACT: We apply the proposal of Dijkgraaf and Vafa to analyze N=1 gauge theory with SO(N) and Sp(N) gauge groups with arbitrary tree-level superpotentials using matrix model techniques. We derive the planar and leading non-planar contributions to the large M SO(M) and Sp(M) matrix model free energy by applying the technology of higher-genus loop equations and by straightforward diagrammatics. The loop equations suggest that the RP^2 free energy is given as a derivative of the sphere contribution, a relation which we verify diagrammatically. With a refinement of the proposal of Dijkgraaf and Vafa for the effective superpotential, we find agreement with field theory expectations. Comment: LaTeX, 41 pages, 1 figure, 1 C source file. References added. Derivation of loop equation corrected; result for free energy unchanged
  11/2002;
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  Available from: arxiv.org

  Article: Penrose Limits of RG Fixed Points and PP-Waves with Background Fluxes

  Richard Corrado, Nick Halmagyi, Kristian D. Kennaway, Nicholas P. Warner
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  ABSTRACT: We consider a family of pp-wave solutions of IIB supergravity. This family has a non-trivial, constant 5-form flux, and non-trivial, (light-cone) time-dependent RR and NS-NS 3-form fluxes. The solutions have either 16 or 20 supersymmetries depending upon the time dependence. One member of this family of solutions is the Penrose limit of the solution obtained by Pilch and Warner as the dual of a Leigh-Strassler fixed point. The family of solutions also provides indirect evidence in support of a recent conjecture concerning a large N duality group that acts on RG flows of N=2 supersymmetric, quiver gauge theories.
  06/2002;
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  Available from: ArXiv

  Article: Orbifolds and Flows from Gauged Supergravity

  Richard Corrado, Murat Gunaydin, Nicholas P. Warner, Marco Zagermann
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  ABSTRACT: We examine orbifolds of the IIB string via gauged supergravity. For the gravity duals of the A_{n-1} quiver gauge theories, we extract the massless degrees of freedom and assemble them into multiplets of N=4 gauged supergravity in five dimensions. We examine the embedding of the gauge group into the isometry group of the scalar manifold, as well as the symmetries of the scalar potential. From this we find that there is a large SU(1,n) symmetry group which relates different RG flows in the dual quiver gauge theory. We find that this symmetry implies an extension of the usual duality between ten-dimensional IIB solutions which involves exchanging geometric moduli with background fluxes.
  03/2002;
• Source

  Available from: ArXiv

  Article: An N=2 supersymmetric membrane flow

  Richard Corrado, Krzysztof Pilch, Nicholas P. Warner
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  ABSTRACT: We find M-theory solutions that are holographic duals of flows of the maximally supersymmetric () scalar-fermion theory in 2+1 dimensions. In particular, we construct the M-theory solution dual to a flow in which a single chiral multiplet is given a mass, and the theory goes to a new infra-red fixed point. We also examine this new solution using M2-brane probes. The (2+1)-dimensional field theory fixed-point is closely related to that of Leigh and Strassler, while the M-theory solution is closely related to the corresponding IIB flow solution. We recast the IIB flow solution in a more geometric manner and use this to obtain an ansatz for the M-theory flow. We are able to generalize our solution further to obtain flows with del Pezzo submanifolds, and we give an explicit solution with a conifold singularity.
  Nuclear Physics B.