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Cited by 28Black Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNoncommutative and Quantum Gravity Theories

Quantum Liouville theory and BTZ black hole entropy

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Chen, Yujun·2004·Classical and Quantum Gravity
DOI 10.1088/0264-9381/21/4/028
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Abstract

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 . I show that there are states that decouple from these reducible Verma modules in a similar fashion to the decoupling of null states in minimal models. Because of the nonstandard form of the Ward identity for the two-point correlation functions in quantum Liouville field theory, these decoupling states have positive-definite norms. The explicit counting from these states gives the desired Bekenstein–Hawking entropy in the semi-classical limit when q is a root of unity of odd order.

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  • For 2+1 black hole solutions, dynamics at either the horizon or the boundary at infinity can lead to local degrees of freedom.

    “For such solutions, dynamics at either the horizon or the boundary at infinity can lead to local degrees of freedom [78, 247, 59, 96, 51, 24, 91]”

    From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [91]

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Sorted by citations

Authors
Chen, Y.
Affiliations
University of California, Davis (US)
Corresponding author
Chen, Yujun
ORCID
Chen, Yujun
Venue
Classical and Quantum Gravity
Publisher
IOP Publishing
Published
2004-01-22
Volume
21
Issue
4
Pages
1153-1180
ISSN
  • 0264-9381 (ISSN-L)
  • 1361-6382
DOI
10.1088/0264-9381/21/4/028
OpenAlex
W1994564539
Cited by
28
References
3
Citations by year
2018: 1 · 2015: 2 · 2014: 2 · 2013: 2 · 2012: 2
FWCI
2.51
Type
journal article
Language
en
Open access
Locations
  • Classical and Quantum Gravity (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
  • PhDT
Funders
  • U.S. Department of Energy
  • University of California, Davis
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
conformal field theory, three-dimensional gravity, Bekenstein-Hawking entropy, null states, minimal models, Ward identities, two-point correlation function, roots of unity, semiclassical limit

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