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

TL;DR

This paper explores the holographic duality of three-dimensional Kerr-de Sitter space with a gravitational Chern-Simons term, analyzing horizon thermodynamics, potential violations of mass bounds, and the dual CFT description, revealing novel chiral features.

Contribution

It provides a detailed holographic analysis of Kerr-de Sitter space with a Chern-Simons term, highlighting modifications to entropy, bounds, and the dual CFT structure beyond analytic continuation from AdS.

Findings

Modified Gibbons-Hawking entropy due to Chern-Simons term

Potential violation of maximum-mass/N-bound conjecture

Chiral nature of the three-dimensional cosmology

Abstract

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. A statistical mechanical computation of the entropy, from a Cardy-like formula for a dual CFT at the asymptotic boundary, is discussed. Some technical difference in the Chern-Simons energy-momentum tensor, from literatures is remarked also.