Dimensional reduction of the S3/WZW duality

A bstract Recently proposed duality relates the critical level limit of WZW models to a classical three-dimensional Einstein gravity on a sphere. In this paper, we propose a dimensional reduced version of this duality. The gravity side is reduced to a Jackiw-Teitelboim (JT) gravity on S 2 with a non...

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Published inThe journal of high energy physics Vol. 2024; no. 3; p. 103
Main Authors Suzuki, Kenta, Taki, Yusuke
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 15.03.2024
Springer Nature B.V
Subjects
Black holes
Boundary conditions
Classical and Quantum Gravitation
Elementary Particles
Gravity
Low temperature
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Symmetry
Universe
Gauge-Gravity Correspondence
2D Gravity
de Sitter space
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Summary:A bstract Recently proposed duality relates the critical level limit of WZW models to a classical three-dimensional Einstein gravity on a sphere. In this paper, we propose a dimensional reduced version of this duality. The gravity side is reduced to a Jackiw-Teitelboim (JT) gravity on S 2 with a non-standard boundary term, or a BF theory with SU(2) gauge symmetry. At least in low temperature limit, these two-dimensional gravity theories completely capture the original three-dimensional gravity effect. The CFT side is reduced to a certain complex Liouville quantum mechanics (LQM) with SU(2) gauge symmetry. Our proposal gives an interesting example of a holography without boundary. We also discuss a higher-spin generalization with SU( N ) gauge symmetry.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2024)103