Holographic RG Flows and Universal Structures on the Coulomb Branch of N=2 Supersymmetric Large n Gauge Theory

Abstract

We report on our results of D3-brane probing a large class of generalised type IIB supergravity solutions presented very recently in the literature. The structure of the solutions is controlled by a single non-linear differential equation. These solutions correspond to renormalisation group flows from pure N=4 supersymmetric gauge theory to an N=2 gauge theory with a massive adjoint scalar. The gauge group is SU(n) with n large. After presenting the general result, we focus on one of the new solutions, solving for the specific coordinates needed to display the explicit metric on the moduli space. We obtain an appropriately holomorphic result for the coupling. We look for the singular locus, and interestingly, the final result again manifests itself in terms of a square root branch cut on the complex plane, as previously found for a set of solutions for which the details are very different. This, together with the existence of the single simple non-linear differential equation, is further evidence in support of an earlier suggestion that there is a very simple model --perhaps a matrix model with relation to the Calogero-Moser integrable system-- underlying this gauge theory physics.

arXiv comment14 pages, LaTeX, 1 figure

References in corpus (14)

• Gauge Theory Correlators from Non-Critical String Theory
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
• Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
• Gauge Theory and the Excision of Repulson Singularities
• N=2 Supersymmetric RG Flows and the IIB Dilaton
• Gauge Dual and Noncommutative Extension of an N=2 Supergravity Solution
• The Enhancon and N=2 Gauge Theory/Gravity RG Flows
• Calogero-Moser Systems in SU(N) Seiberg-Witten Theory
• Integrable Structures in Supersymmetric Gauge and String Theory
• Generalizing the N=2 supersymmetric RG flow solution of IIB supergravity
• Multidimensional Calogero systems from matrix models
• Exact amplitudes in four dimensional non-critical string theories

Cited by in corpus (6)

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• Massive N=2 Gauge Theories at Large N
• Brane-Jet Instabilities
• N = 2* Phase Transitions and Holography
• Higher dimensional conformal field theories in the Coulomb branch
• Operators with Large Quantum Numbers, Spinning Strings, and Giant Gravitons