By constructing close-one-cochain density in the gauge group space we get the Wess Zumino Witten(WZW) effective Lagrangian on high-dimensional noncommutative space. Especially consistent anomalies derived fromthis WZW...By constructing close-one-cochain density in the gauge group space we get the Wess Zumino Witten(WZW) effective Lagrangian on high-dimensional noncommutative space. Especially consistent anomalies derived fromthis WZW effective action in noncommutative four-dimensional space coincide with those obtained by L. Bonora etc.(hep-th /0002210).展开更多
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
文摘By constructing close-one-cochain density in the gauge group space we get the Wess Zumino Witten(WZW) effective Lagrangian on high-dimensional noncommutative space. Especially consistent anomalies derived fromthis WZW effective action in noncommutative four-dimensional space coincide with those obtained by L. Bonora etc.(hep-th /0002210).
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.
