Holography in three-dimensional Kerr–de Sitter space with a gravitational Chern–Simons term
Holography in three-dimensional Kerr–de Sitter space with a gravitational Chern–Simons term
复制标题
具有引力陈-西蒙斯项的三维克尔-德西特空间中的全息术
DOI:
10.1088/0264-9381/25/13/135003
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发表时间:
2007
影响因子:
3.5
通讯作者:
Mu
中科院分区:
文献类型:
--
作者:
Mu
The holographic description of the three-dimensional Kerr–de Sitter space with a gravitational Chern–Simons term is studied, in the context of dS/CFT correspondence. The space has only one (cosmological) event horizon and its mass and angular momentum are identified from the holographic energy–momentum tensor at the asymptotic infinity. The thermodynamic entropy of the cosmological horizon is computed directly from the first law of thermodynamics, with the conventional Hawking temperature, and it is found that the usual Gibbons–Hawking entropy is modified. It is remarked that, due to the gravitational Chern–Simons term, (a) the results go beyond the analytic continuation from AdS, (b) the maximum-mass/N-bound conjecture may be violated and (c) the three-dimensional cosmology is chiral. A statistical mechanical computation of the entropy, from a Cardy-like formula for a dual CFT at the asymptotic boundary, is discussed. Some remarks on the technical differences in the Chern–Simons energy–momentum tensor, from the literature, are also made.