S. Prem Kumar

S-duality of the Leigh-Strassler Deformation via Matrix Models

We investigate an exactly marginal = 1 supersymmetric deformation of SU(N) = 4 supersymmetric Yang-Mills theory discovered by Leigh and Strassler. We use a matrix model to compute the exact superpotential for a further massive deformation of the U(N) Leigh-Strassler theory. We then show how the exact superpotential and eigenvalue spectrum for the SU(N) theory follows by a process of integrating-in. We find that different vacua are related by an action of the SL(2,) modular group on the bare couplings of the theory extending the action of electric-magnetic duality away from the = 4 theory. We perform non-trivial tests of the matrix model results against semiclassical field theory analysis. We also show that there are interesting points in parameter space where condensates can diverge and vacua disappear. Based on the matrix model results, we propose an exact elliptic superpotential to describe the theory compactified on a circle of finite radius.

Exact Superpotentials from Matrix Models

Dijkgraaf and Vafa (DV) have conjectured that the exact superpotential for a large class of = 1 SUSY gauge theories can be extracted from the planar limit of a certain holomorphic matrix integral. We test their proposal against existing knowledge for a family of deformations of = 4 SUSY Yang-Mills theory involving an arbitrary polynomial superpotential for one of the three adjoint chiral superfields. Specifically, we compare the DV prediction for these models with earlier results based on the connection between SUSY gauge theories and integrable systems. We find complete agreement between the two approaches. In particular we show how the DV proposal allows the extraction of the exact eigenvalues of the adjoint scalar in the confining vacuum and hence computes all related condensates of the finite-N gauge theory. We extend these results to include Leigh-Strassler deformations of the = 4 theory.

Multiply wound Polyakov loops at strong coupling

We study the expectation value of a Polyakov-Maldacena loop that wraps the thermal circle k times in strongly coupled N = 4 super Yang-Mills theory. This is achieved by considering probe D3 and D5 brane embeddings in the dual black hole geometry. In contrast to multiply wound spatial Wilson loops, nontrivial dependence on k is captured through D5 branes. We find N −2/3 corrections, reminiscent of the scaling behaviour near a Gross-Witten transition.

Thermodynamics of higher spin black holes in 3D

A bstractWe examine the thermodynamic properties of recently constructed black hole solutions in SL(3,

Massive Vacua of N=1* Theory and S Duality from Matrix Models

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New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities

) × SL(3,

Higher spin entanglement entropy from CFT

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Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory

) Chern-Simons theory in the presence of a chemical potential for spin-3 charge, which acts as an irrelevant deformation of the dual CFT with

An exact elliptic superpotential for deformations of finite gauge theories

{{\mathcal{W}}_3}\times {{\mathcal{W}}_3}

Universal correction to higher spin entanglement entropy

symmetry. The smoothness or holonomy conditions admit four branches of solutions describing a flow between two AdS3 backgrounds corresponding to two different CFTs. The dominant branch at low temperatures, connected to the BTZ black hole, merges smoothly with a thermodynamically unstable branch and disappears at higher temperatures. We confirm that the UV region of the flow satisfies the Ward identities of a CFT with