Comments on a-maximization from gauged supergravity
arXiv:1209.3025 · doi:10.1007/JHEP12(2012)018
Abstract
In this paper we study the holographic dual to a-maximization in five-dimensional N = 2 gauged supergravity. In particular, we apply the procedure described by Tachikawa 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 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 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.
v2: Generalized reduction to include cases of two-sphere and torus. Added references, fixed typos
References in corpus (10)
- Holographic c-theorems in arbitrary dimensions
- Sasaki-Einstein Manifolds and Volume Minimisation
- Four-Dimensional SCFTs from M5-Branes
- Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
- Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
- Type IIB supergravity on squashed Sasaki-Einstein manifolds
- Wrapped M5-branes, consistent truncations and AdS/CMT
- A supersymmetric consistent truncation for conifold solutions
- Supersymmetric Consistent Truncations of IIB on T(1,1)
- The central charge of supersymmetric AdS_5 solutions of type IIB supergravity