TY - JOUR
T1 - Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity
AU - Gabella, Maxime
AU - Gauntlett, Jerome P.
AU - Palti, Eran
AU - Sparks, James
AU - Waldram, Daniel
PY - 2009/8/6
Y1 - 2009/8/6
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/68649104775
U2 - 10.1103/PhysRevLett.103.051601
DO - 10.1103/PhysRevLett.103.051601
M3 - Article
AN - SCOPUS:68649104775
SN - 0031-9007
VL - 103
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
M1 - 051601
ER -