Hyperbolicity of partition function and quantum gravity

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13 Citations (Scopus)


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 the Euclidean AdS3 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.

Original languageEnglish
Pages (from-to)537-548
Number of pages12
JournalNuclear Physics B
Issue number3
Publication statusPublished - Nov 26 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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