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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity
Maxime Gabella1, Jerome P Gauntlett, Eran Palti
1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Abstract:
We show that generic supersymmetric 5D anti-de Sitter 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 formulas.
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