Conformal field theory on the horizon of a BTZ black hole

Jing-Bo Wang; Chao-Guang Huang

doi:10.1088/1674-1137/42/12/123110

Chinese Physics C> 2018, Vol. 42> Issue(12) : 123110 DOI: 10.1088/1674-1137/42/12/123110

Conformal field theory on the horizon of a BTZ black hole

Jing-Bo Wang ^1,, ,
Chao-Guang Huang ^2,,

1.
Institute for Gravitation and Astrophysics, College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China
2.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

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Abstract：
In a three-dimensional spacetime with negative cosmological constant, general relativity can be written as two copies of SO(2,1) Chern-Simons theory. On a manifold with a boundary, the Chern-Simons theory induces a conformal field theory—Wess-Zumino-Witten theory on the boundary. In this paper, it is shown that with suitable boundary conditions for a Banados-Teitelboim-Zanelli black hole, the Wess-Zumino-Witten theory can reduce to a chiral massless scalar field on the horizon.
- BTZ black hole ,
- Chern-Simons theory ,
- WZW theory

References

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Jing-Bo Wang and Chao-Guang Huang. Conformal field theory on the horizon of a BTZ black hole[J]. Chinese Physics C, 2018, 42(12): 123110. doi: 10.1088/1674-1137/42/12/123110

Jing-Bo Wang and Chao-Guang Huang. Conformal field theory on the horizon of a BTZ black hole[J]. Chinese Physics C, 2018, 42(12): 123110. doi: 10.1088/1674-1137/42/12/123110 shu

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Received: 2018-04-09
Revised: 2018-08-22

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Supported by National Natural Science Foundation of China (11690022), the Strategic Priority Research Program of the Chinese Academy of Sciences Multi-waveband Gravitational Wave Universe (XDB23040000) and Nanhu Scholars Program for Young Scholars of XYNU

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Conformal field theory on the horizon of a BTZ black hole

Corresponding author: Jing-Bo Wang,

Corresponding author: Chao-Guang Huang,

1. Institute for Gravitation and Astrophysics, College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China

2. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

Received Date: 2018-04-09

Accepted Date: 2018-08-22

Available Online: 2018-12-05

Fund Project: Supported by National Natural Science Foundation of China (11690022), the Strategic Priority Research Program of the Chinese Academy of Sciences Multi-waveband Gravitational Wave Universe (XDB23040000) and Nanhu Scholars Program for Young Scholars of XYNU

Abstract: In a three-dimensional spacetime with negative cosmological constant, general relativity can be written as two copies of SO(2,1) Chern-Simons theory. On a manifold with a boundary, the Chern-Simons theory induces a conformal field theory—Wess-Zumino-Witten theory on the boundary. In this paper, it is shown that with suitable boundary conditions for a Banados-Teitelboim-Zanelli black hole, the Wess-Zumino-Witten theory can reduce to a chiral massless scalar field on the horizon.

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Conformal field theory on the horizon of a BTZ black hole

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