Geometrizing TT<mml:mo stretchy="true"><overbar></mml:mover>

被引：0
|
作者：
Caputa, Pawel [1 ]
Datta, Shouvik [2 ,3 ,4 ]
Jiang, Yunfeng [4 ,5 ,6 ]
Kraus, Per [2 ]
机构：
[1] Univ Warsaw, Fac Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland
[2] Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA
[3] Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland
[4] CERN, Dept Theoret Phys, 1 Esplanade Particules, CH-1211 Geneva 23, Switzerland
[5] Southeast Univ, Shing Tung Yau Ctr, Nanjing 210096, Peoples R China
[6] Southeast Univ, Sch Phys, Nanjing 211189, Peoples R China
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 03期
基金：
美国国家科学基金会;
关键词：
AdS-CFT Correspondence; Conformal Field Theory; Integrable Field Theories;
D O I：
10.1007/JHEP03(2021)140
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：
The TT<overbar></mml:mover> deformation can be formulated as a dynamical change of coordinates. We establish and generalize this relation to curved spaces by coupling the undeformed theory to 2d gravity. For curved space the dynamical change of coordinates is supplemented by a dynamical Weyl transformation. We also sharpen the holographic correspondence to cutoff AdS(3) in multiple ways. First, we show that the action of the annular region between the cutoff surface and the boundary of AdS(3) is given precisely by the T<mml:mover accent="true">T<mml:mo stretchy="true"><overbar></mml:mover> operator integrated over either the cutoff surface or the asymptotic boundary. Then we derive dynamical coordinate and Weyl transformations directly from the bulk. Finally, we reproduce the flow equation for the deformed stress tensor from the cutoff geometry.
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页数：24
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