Sphere partition functions & cut-off AdS

被引：57

作者：

Caputa, Pawel ^{[1
]}

Datta, Shouvik ^{[2
]}

Shyam, Vasudev ^{[3
]}

机构：

[1] Kyoto Univ, Yukawa Inst Theoret Phys, Ctr Gravitat Phys, Kyoto 6068502, Japan

[2] Univ Calif Los Angeles, Dept Phys & Astron, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA

[3] Perimeter Inst Theoret Phys, 31 N Caroline St, Waterloo, ON N2L 2Y5, Canada

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 2019卷 / 05期

基金：

美国国家科学基金会;

关键词：

AdS-CFT Correspondence; Classical Theories of Gravity; Conformal Field Theory; Integrable Field Theories;

D O I：

10.1007/JHEP05(2019)112

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We consider sphere partition functions of TT deformed large N conformal field theories in d = 2, 3, 4, 5 and 6 dimensions, computed using the flow equation. These are shown to non-perturbatively match with bulk computations of AdS(d+1) with a finite radial cut-off. We then demonstrate how the flow equation can be independently derived from a regularization procedure of defining TT operators through a local Callan-Symanzik equation. Finally, we show that the sphere partition functions, modulo bulk-counterterm contributions, can be reproduced from Wheeler-DeWitt wavefunctions.

引用

页数：26

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