Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term

Understand

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 usual 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 analytic continuation from AdS, (b) the maximum-mass/N-bound conjecture may be violated, and (c) the three-dimensional cosmology is chiral.