Semiclassical Einstein equations from holography and boundary dynamics - INSPIRE

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Semiclassical Einstein equations from holography and boundary dynamics

Akihiro Ishibashi
(
- Kinki U., Osaka
)
,
Kengo Maeda
(
- Shibaura Inst. Tech.
)
,
Takashi Okamura
(
- Kwansei Gakuin U.
)

Jan 28, 2023

34 pages

Published in:

JHEP 05 (2023) 212

Published: May 26, 2023

e-Print:

2301.12170 [hep-th]

DOI:

10.1007/JHEP05(2023)212

View in:

ADS Abstract Service

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Abstract: (Springer)

In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and Marolf. Our prescription involves the effective action with self-action term for boundary dynamical fields, which can be viewed as imposing mixed boundary conditions for the gravity dual. We derive the semiclassical Einstein equations sourced by boundary CFT stress-energy tensor. Analyzing perturbations of the holographic semiclassical Einstein equations, we find a universal parameter γ

_{d}

which controls the contribution from boundary CFTs and specifies dynamics on the AdS boundary. As a simple example, we examine the semiclassical Einstein equations in 3-dimensions with 4-dimensional AdS gravity dual, and show that the boundary BTZ black hole with vanishing expectation value of the stress-energy tensor becomes unstable due to the backreaction from quantum stress-energy tensor when the parameter γ

_{d}

exceeds a certain critical value.

Note:

34 page, 4 figures; one figure and refs added, some clarifications made, version to appear in JHEP

AdS-CFT Correspondence
Gauge-Gravity Correspondence
Einstein equation: semiclassical
tensor: energy-momentum
field theory: conformal
gravitation: duality
gravitation: anti-de Sitter
black hole: BTZ
holography
back reaction

References(41)

Figures(4)

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