Central Charge of Supersymmetric 5D Anti-de Sitter Space Solutions of Type IIB Supergravity

Journal Article · Fri Jul 31 00:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.103.051601· OSTI ID:21370601

Gabella, Maxime; Palti, Eran ^[1]; Gauntlett, Jerome P; Waldram, Daniel ^[2]; Sparks, James ^[3]

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1. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP (United Kingdom)
2. Theoretical Physics Group, Blackett Laboratory, Imperial College, London SW7 2AZ (United Kingdom)
3. Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB (United Kingdom)

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.

• OSTI ID: 21370601
• Journal Information: Physical Review Letters, Vol. 103, Issue 5; Other Information: DOI: 10.1103/PhysRevLett.103.051601; (c) 2009 The American Physical Society; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER GROUP
ANTI DE SITTER SPACE
D-BRANES
INTEGRALS
MATHEMATICAL SOLUTIONS
SUPERGRAVITY
SUPERSYMMETRY
U-1 GROUPS
BRANES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL SPACE
SPACE
SYMMETRY
SYMMETRY GROUPS
U GROUPS
UNIFIED-FIELD THEORIES