JT gravity from partial reduction and defect extremal surface - INSPIRE

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JT gravity from partial reduction and defect extremal surface

Feiyu Deng
(
- Fudan U.
)
,
Yu-Sen An
(
- Fudan U.
)
,
Yang Zhou
(
- Fudan U. and
- PCFT, Hefei
)

Jun 20, 2022

8 pages

Published in:

JHEP 02 (2023) 219

Published: Feb 22, 2023

e-Print:

2206.09609 [hep-th]

DOI:

10.1007/JHEP02(2023)219

View in:

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Abstract: (Springer)

We propose the three-dimensional counterpart for Jackiw-Teitelboim gravity coupled with CFT

_{2}

bath based on partial reduction. The three-dimensional counterpart is classical AdS gravity with a defect brane which has small fluctuation in transverse direction. We derive full Jackiw-Teitelboim gravity action by considering the transverse fluctuation as a dilaton field. We demonstrate that the fine-grained entropy computed from island formula precisely agrees with that computed from defect extremal surface. Our construction provides a Lorentzian higher dimensional counterpart for Jackiw-Teitelboim gravity glued to a bath and therefore offers a framework to study problems such as black hole information paradox.

Note:

8 pages, 3 figures

AdS-CFT Correspondence
Holography and Condensed Matter Physics (AdS/CMT)
gravitation: action
gravitation: coupling
membrane model: defect
gravitation: anti-de Sitter
field theory: conformal
dimension: 3
black hole: information theory
duality

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