Five-dimensional Supergravity Dual of a-Maximization

Details Five-dimensional Supergravity Dual of a-Maximization Five-dimensional Supergravity Dual of a-Maximization

2005-07-06

arxiv.org/abs/hep-th/0507057v2

Nucl.Phys. B733 (2006) 188-203

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; v2: published version

Scientific paper

10.1016/j.nuclphysb.2005.11.010

We study the five-dimensional supergravity dual of the a-maximization under AdS5/CFT4 duality. We firstly show that the a-maximization is mapped to the attractor equation in five-dimensional gauged supergravity, and that the trial a-function is the inverse cube of the superpotential of the five-dimensional theory. There is also a version of a-maximization in which one extremizes over Lagrange multipliers enforcing the anomaly-free condition of the R-symmetry. We identify the supergravity dual of this procedure, and show how the Lagrange multipliers appearing in the supergravity description naturally correspond to the gauge coupling of the superconformal field theory.

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