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Correlation function of thin-shell operators

delete2024-08-12
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OA
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Bin Chen
Y
Yuefeng Liu *
B
Boyang Yu
DOI:10.1007/JHEP08(2024)082delete
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Abstract

Abstract

En 中文
In this study, we explore the correlation functions of thin-shell operators, represented semiclassically by a homogeneous, thin interface of dust particles. Employing the monodromy method, we successfully compute the contribution from the Virasoro vacuum block and present the monodromy equation in a closed form without assuming the probe limit. Although an analytical solution to the monodromy equation remains difficult, we demonstrate that it is perturbatively solvable within specific limits, including the probe limit, the heavy-shell limit, and the early-time limit. Moreover, we compare our results with gravitational calculations and find precise agreement. We strengthen our findings by proving that the thermal correlation functions in gravity, after an inverse Laplace transformation, satisfy the field theory's monodromy equation. Additionally, we identify an infinite series of unphysical solutions to the monodromy equation and discuss their potential geometrical duals.
Keywords:
AdS-CFT Correspondence
Black Holes in String Theory
Conformal Field Models in String Theory
Scale and Conformal Symmetries

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
4.0W
Citations:
13.7W

Organization

P
peking university
Scholars:
11.9W
Papers: 8.7W
Citations: 146
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