Asymptotics of quantum 6j symbols

Qingtao Chen; Jun Murakami

Asymptotics of quantum 6j symbols

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The asymptotics of the quantum 6j symbols corresponding to a hyperbolic tetrahedron is investigated and the first two leading terms are determined for the case that the tetrahedron has a ideal or ultra-ideal vertex. These terms are given by the volume and the determinant of the Gram matrix of the tetrahedron. A relation to the volume conjecture of the Turaev-Viro invariant is also discussed.

Original language	English
Journal	Unknown Journal
Publication status	Published - 2017 Jun 15

ASJC Scopus subject areas

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title = "Asymptotics of quantum 6j symbols",

abstract = "The asymptotics of the quantum 6j symbols corresponding to a hyperbolic tetrahedron is investigated and the first two leading terms are determined for the case that the tetrahedron has a ideal or ultra-ideal vertex. These terms are given by the volume and the determinant of the Gram matrix of the tetrahedron. A relation to the volume conjecture of the Turaev-Viro invariant is also discussed.",

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AB - The asymptotics of the quantum 6j symbols corresponding to a hyperbolic tetrahedron is investigated and the first two leading terms are determined for the case that the tetrahedron has a ideal or ultra-ideal vertex. These terms are given by the volume and the determinant of the Gram matrix of the tetrahedron. A relation to the volume conjecture of the Turaev-Viro invariant is also discussed.

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