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CFT duals of three-dimensional de Sitter gravity
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Journal Article
CFT duals of three-dimensional de Sitter gravity
2022
Overview
A
bstract
We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU(2) WZW model in the critical level limit
k → −
2, which corresponds to the classical gravity limit. We can generalize this dS/CFT by considering the SU(
N
) WZW model in the critical level limit
k → −N
, dual to the higher-spin gravity on a three-dimensional de Sitter space. We confirm that under this proposed duality the classical partition function in the gravity side can be reproduced from CFT calculations. We also point out a duality relation known in higher-spin holography provides further evidence. Moreover, we analyze two-point functions and entanglement entropy in our dS/CFT correspondence. Possible spectrum and quantum corrections in the gravity theory are discussed.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
