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Comments on a-maximization from gauged supergravity

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Abstract

In this paper we study the holographic dual to a-maximization in five-dimensional \( \mathcal{N}=2 \) gauged supergravity. In particular, we apply the procedure described by Tachikawa in [1] to specific examples consisting of holographic duals to gauge theories arising as the IR limit of N M5-branes wrapping a Riemann surface. A key element of this analysis is a consistent truncation of seven-dimensional \( \mathcal{N}=4 \) SO(5) gauged supergravity reduced on a Riemann surface. We demonstrate the consistency of this truncation and match to a sector of five-dimensional matter-coupled \( \mathcal{N}=2 \) gauged supergravity. We determine the U(1) R symmetry and central charge of these theories and find agreement with the literature. The final results provide a nontrivial illustration of the holographic interpretation of a-maximization.

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  1. Department of Physics, University of Virginia, Box 400714, Charlottesville, VA, 22904, U.S.A.

    Phillip Szepietowski

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ArXiv ePrint: 1209.3025

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Szepietowski, P. Comments on a-maximization from gauged supergravity. J. High Energ. Phys. 2012, 18 (2012). https://doi.org/10.1007/JHEP12(2012)018

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