paper

Hyperbolicity of Partition Function and Quantum Gravity

arXiv:hep-th/0108009 · doi:10.1016/S0550-3213(01)00464-3

Abstract

We study a geometry of the partition function which is defined in terms of a solution of the five-term relation. It is shown that the 3-dimensional hyperbolic structure or Euclidean AdS_3 naturally arises in the classical limit of this invariant. We discuss that the oriented ideal tetrahedron can be assigned to the partition function of string.

16 pages, 4 figures

Hyperbolicity of Partition Function and Quantum Gravity · wovepaper