3-Dimensional Gravity and the Turaev-Viro Invariant

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概要

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• We derived an asymptotic formula for q-6j symbol. This is a generalization of the former work by Ponzano and Regge. Studying the q-deformed su(2) spin network as a 3-dimensional quantum gravity model, we show that the Turaev-Viro invariant defines naturally regularized path-integral a la Ponzano-Regge in the semi-classical continuum limit. We find a term which should be related to the cosmological constant term in 3-dimensional gravity. The contribution from the cosmological term is effectively included in the pathintegral from the invariant, and the cosmological constant is found to be 4π^2/k^2+O(k^<-4>), where q^<2k>=1. We point out also that the duality matrices of the su(2) WZW model may be identified as the Turaev-Viro invariant evaluated on a certain 3-manifold.

• 理論物理学刊行会の論文
• 1992-12-10

著者

• TADA Tsukasa

  Tohwa Institute for Science, Tohwa University

• Tada Tsukasa

  Uji Research Center Yukawa Institute For Theoretical Physics Kyoto University

• Tada Tsukasa

  Uji Research Center Yukawa Institute For Theoretical Physics Kyoto University : Soryuushi Shogakukai

• TADA Tsukasa

  Tohwa Institute for Science, Tohwa University : KEK Theory Group

• Mizoguchi Shun′ya

  Uji Research Center Yukawa Institute for Theoretical Physics Kyoto University

• Mizoguchi Shun′ya

  Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University

関連論文

• IIB Matrix Model
• Space-Time Structures from IIB Matrix Model
• Toward a Supersymmetric Unitary Matrix Formulation of the IIB Matrix Model
• On the Mass of 2d Quantum Black Hole
• 3-Dimensional Gravity and the Turaev-Viro Invariant
• BRST Structure of the W_3 Minimal Model : Particles and Fields
• On Hawking Radiation from the CGHS Black Hole
• Turaev-Viro Invariant, Rational Conformal Field Theory and 3-dimensional Gravity

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