On the Superconformal Index of N=1 IR Fixed Points: A Holographic Check

Abstract

We evaluate the superconformal index of the Y^{p,q} quiver gauge theories using Romeslberger's prescription. For the conifold quiver Y^{1,0} we find exact agreement at large N with a previous calculation in the dual AdS_5 X T^{1,1} supergravity.

26 pages, 7 figures

References in corpus (14)

• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• Counting Gauge Invariants: the Plethystic Program
• S-duality in N=2 supersymmetric gauge theories
• Essays on the theory of elliptic hypergeometric functions
• Brane Tilings and Their Applications
• Superconformal indices for N=1 theories with multiple duals
• Calculating the Superconformal Index and Seiberg Duality
• Duality Walls, Duality Trees and Fractional Branes
• 27/32
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• On the ISS model of dynamical SUSY breaking
• Index for Supergravity on AdS_5 \times T^{1,1} and Conifold Gauge Theory
• Supersymmetric dualities beyond the conformal window
• Two loop partition function for large N pure Yang-Mills theory on a small three-sphere

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