Conformal field theory on the horizon of a BTZ black hole

  • 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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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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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
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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