In a three-dimensional spacetime with ~egative 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 ...In a three-dimensional spacetime with ~egative 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.展开更多
In a previous publication,we claimed that a black hole can be considered as a topological insulator.A direct consequence of this claim is that their symmetries should be related.In this paper,we give a representation ...In a previous publication,we claimed that a black hole can be considered as a topological insulator.A direct consequence of this claim is that their symmetries should be related.In this paper,we give a representation of the near-horizon symmetry algebra of the BTZ black hole using the W1+∞symmetry algebra of the topological insulator in three-dimensional spacetime.Based on the W1+∞algebra,we count the number of the microstates of the BTZ black holes and obtain the Bekenstein-Hawking entropy.展开更多
It was previously claimed by the author that black holes can be considered as topological insulators. Both black holes and topological insulators have boundary modes, and the boundary modes can be described by an effe...It was previously claimed by the author that black holes can be considered as topological insulators. Both black holes and topological insulators have boundary modes, and the boundary modes can be described by an effective BF theory. In this paper, the boundary modes on the horizons of black holes are analyzed using methods developed for topological insulators. BTZ black holes are analyzed first, and the results are found to be compatible with previous works. The results are then generalized to Kerr black holes, for which new results are obtained: dimensionless right-and left-temperatures can be defined and have well behavior in both the Schwarzschild limit a → 0 and the extremal limit a → M. Upon the Kerr/CFT correspondence, a central charge c = 12 Mr+ can be associated with an arbitrary Kerr black hole. Moreover, the microstates of the Kerr black hole can be identified with the quantum states of this scalar field. From this identification, the number of microstates of the Kerr black hole can be counted, yielding the Bekenstein-Hawking area law for the entropy.展开更多
基金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)Nanhu Scholars Program for Young Scholars of XYNU
文摘In a three-dimensional spacetime with ~egative 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.
基金Supported by the NSFC(11647064)and Nanhu Scholars Program for Young Scholars of XYNU
文摘In a previous publication,we claimed that a black hole can be considered as a topological insulator.A direct consequence of this claim is that their symmetries should be related.In this paper,we give a representation of the near-horizon symmetry algebra of the BTZ black hole using the W1+∞symmetry algebra of the topological insulator in three-dimensional spacetime.Based on the W1+∞algebra,we count the number of the microstates of the BTZ black holes and obtain the Bekenstein-Hawking entropy.
基金Supported by Nanhu Scholars Program for Young Scholars of XYNU。
文摘It was previously claimed by the author that black holes can be considered as topological insulators. Both black holes and topological insulators have boundary modes, and the boundary modes can be described by an effective BF theory. In this paper, the boundary modes on the horizons of black holes are analyzed using methods developed for topological insulators. BTZ black holes are analyzed first, and the results are found to be compatible with previous works. The results are then generalized to Kerr black holes, for which new results are obtained: dimensionless right-and left-temperatures can be defined and have well behavior in both the Schwarzschild limit a → 0 and the extremal limit a → M. Upon the Kerr/CFT correspondence, a central charge c = 12 Mr+ can be associated with an arbitrary Kerr black hole. Moreover, the microstates of the Kerr black hole can be identified with the quantum states of this scalar field. From this identification, the number of microstates of the Kerr black hole can be counted, yielding the Bekenstein-Hawking area law for the entropy.
