Hyperbolicity of Partition Function and Quantum Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, 4 figures

Scientific paper

10.1016/S0550-3213(01)00464-3

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.

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