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The Effects of the Gravitational Chern-Simons Term in the AdS2+1 Geometry

1998/11/05 by Jin-Ho Cho, Cho, Jin-Ho
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9811049

22 pages, LaTeX file using revTeX macro

arxiv created 1998/11/05 · arxiv updated 2009/11/30

Abstract

We study the effect of the gravitational Chern-Simons term (GCST) in the (2+1)-dimensional anti-de Sitter (AdS2+1) geometry. In the context of the gauge gravity, we obtain black hole solution and its boundary WZW theory. The BTZ black hole solution can still be retrieved but its gravitational mass and angular momentum become different from their inherent values. The deformation on these quantities due to the GCST can be summarized as SO(1,1) times rescaling. The boundary WZW theory is found to be chiral, i.e., composed of the right moving part and the left moving part with different Kac-Moody levels. The statistical entropy is proportional to the area only for the large levels and vanishing GCST limit, but its coefficient is not the correct order in the Newton constant G. Some related physics are discussed.

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