Cutoff brane vs the Karch-Randall brane: the fluctuating case

Lin, Jiong1,2,3; Lu, Yizhou4; Wen, Qiang5,6

2024-06-05

10.1007/JHEP06(2024)017

JOURNAL OF HIGH ENERGY PHYSICS   影响因子和分区

1029-8479

Recently, certain holographic Weyl transformed CFT2 is proposed to capture the main features of the AdS3/BCFT2 correspondence [1, 2]. In this paper, by adapting the Weyl transformation, we simulate a generalized AdS/BCFT set-up where the fluctuation of the Karch-Randall (KR) brane is considered. In the gravity dual of the Weyl transformed CFT, the so-called cutoff brane induced by the Weyl transformation plays the same role as the KR brane. Unlike the non-fluctuating configuration, in the 2d effective theory the additional twist operator is inserted at a different place, compared with the one inserted on the brane. Though this is well-understood in the Weyl transformed CFT set-up, it is confusing in the AdS/BCFT set-up where the effective theory is supposed to locate on the brane. This confusion indicates that the KR brane may be emergent from the boundary CFT2 via the Weyl transformations.We also calculate the balanced partial entanglement (BPE) in the fluctuating brane configurations and find it coincide with the entanglement wedge cross-section (EWCS). This is a non-trivial test for the correspondence between the BPE and the EWCS, and a non-trivial consistency check for the Weyl transformed CFT set-up.

AdS-CFT Correspondence Gauge-Gravity Correspondence

SCI

英语

其他

National Natural Science Foundation of China["12247117","12247103","12047502","12247161"] ; China Postdoctoral Science Foundation[2022TQ0140] ; NSFC Research Fund for International Scientists[12250410250]

Physics

Physics, Particles & Fields

WOS:001256014900004

SPRINGER

PHYSICS

Web of Science

1.Guangdong Univ Educ, Sch Phys & Informat Engn, Guangzhou 510303, Peoples R China
2.Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China
3.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China
4.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
5.Southeast Univ, Shing Tung Yau Ctr, Nanjing 210096, Peoples R China
6.Southeast Univ, Sch Phys, Nanjing 210096, Peoples R China

Lin, Jiong,Lu, Yizhou,Wen, Qiang. Cutoff brane vs the Karch-Randall brane: the fluctuating case[J]. JOURNAL OF HIGH ENERGY PHYSICS,2024(6).

Lin, Jiong,Lu, Yizhou,&Wen, Qiang.(2024).Cutoff brane vs the Karch-Randall brane: the fluctuating case.JOURNAL OF HIGH ENERGY PHYSICS(6).

Lin, Jiong,et al."Cutoff brane vs the Karch-Randall brane: the fluctuating case".JOURNAL OF HIGH ENERGY PHYSICS .6(2024).