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Hyperbolicity of Partition Function and Quantum Gravity
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Hyperbolicity of Partition Function and Quantum Gravity
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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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Cited by 1 Pith paper
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Solving the tetrahedron equation by Teichm\"uller TQFT
Boltzmann weights built from Teichmüller TQFT on shaped triangulations with line defects exactly solve the bicolored tetrahedron equations.
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