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arXiv · 0906.3686

The central charge of supersymmetric AdS_5 solutions of type IIB supergravity

Maxime Gabella·Jerome P. Gauntlett·Eran Palti·James Sparks·Daniel Waldram
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Abstract

We show that generic supersymmetric AdS_5 solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to supersymmetric wrapped D3-branes. Hence both quantities can be calculated using incomplete information about the solutions, allowing us to prove that they are rational numbers for solutions with a U(1) R-symmetry, in agreement with field theory expectations. We also discuss related Duistermaat-Heckman integrals and localization formulae.

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Maxime Gabella, Jerome P. Gauntlett, Eran Palti, James Sparks, Daniel Waldram. 2009-06-19. The central charge of supersymmetric AdS_5 solutions of type IIB supergravity. https://doi.org/10.1103/physrevlett.103.051601

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