Boundary actions in Ponzano-Regge discretization, Quantum groups and AdS(3)

Details Boundary actions in Ponzano-Regge discretization, Quantum groups and AdS(3) Boundary actions in Ponzano-Regge discretization, Quantum groups and AdS(3)

2000-02-28

arxiv.org/abs/gr-qc/0002092v3

Adv.Theor.Math.Phys. 6 (2003) 795-826

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 7 figures. Equations corrected and reference added. To appear in ATMP

Scientific paper

Boundary actions for three-dimensional quantum gravity in the discretized formalism of Ponzano-Regge are studied with a view towards understanding the boundary degrees of freedom. These degrees of freedom postulated in the holography hypothesis are supposed to be characteristic of quantum gravity theories. In particular it is expected that some of these degrees of freedom reside on black hole horizons. This paper is a study of these ideas in the context of a theory of quantum gravity that requires no additional structure such as supersymmetry or special gravitational backgrounds. Lorentzian as well as Euclidean regimes are examined. Some surprising relationships to Liouville theory and string theory in AdS(3) are found.

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