The central charge of supersymmetric AdS_5 solutions of type IIB supergravity

Details The central charge of supersymmetric AdS_5 solutions of type IIB supergravity The central charge of supersymmetric AdS_5 solutions of type IIB supergravity

2009-06-19

arxiv.org/abs/0906.3686v1

Phys.Rev.Lett.103:051601,2009

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

10.1103/PhysRevLett.103.051601

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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