Quantum Liouville theory and BTZ black hole entropy
نویسندگان
چکیده
منابع مشابه
Quantum Liouville theory and BTZ black hole entropy
In this paper I give an explicit conformal field theory description of (2+1)dimensional BTZ black hole entropy. In the boundary Liouville field theory I investigate the reducible Verma modules in the elliptic sector, which correspond to certain irreducible representations of the quantum algebra Uq(sl2)⊙Uq̂(sl2). I show that there are states that decouple from these reducible Verma modules in a s...
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With the recent discovery that many aspects of black hole thermodynamics can be effectively reduced to problems in three spacetime dimensions, it has become increasingly important to understand the “statistical mechanics” of the (2+1)-dimensional black hole of Bañados, Teitelboim, and Zanelli (BTZ). Several conformal field theoretic derivations of the BTZ entropy exist, but none is completely s...
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For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated to be equal to the Bekenstein-Hawking entropy. In this paper, its statistical entropy in the higher curvature gravity is calculated and shown to be equal to the one derived by using the Noether charge method. This suggests that the equivalence of the geometrical and statistical entropies of the black hole ...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2004
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/21/4/028