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

被引：8

作者：

Gabella, Maxime ^{[1
]}

Gauntlett, Jerome P. ^{[2
,3
]}

Palti, Eran ^{[1
]}

Sparks, James ^{[4
]}

Waldram, Daniel ^{[2
,3
]}

机构：

[1] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England

[2] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Theoret Phys Grp, London SW7 2AZ, England

[3] Univ London Imperial Coll Sci Technol & Med, Inst Math Sci, London SW7 2PE, England

[4] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

SASAKI-EINSTEIN MANIFOLDS; ADS(5) SOLUTIONS;

D O I：

10.1103/PhysRevLett.103.051601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

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