Asymptotics of quantum \(6j\) symbols (Q6158164)

This paper gives the asymptotics of the quantum \(6j\) symbols corresponding to a hyperbolic tetrahedron with at least one ideal or ultra-ideal vertex. The authors show that the quantum \(6j\) symbol corresponding to a hyperbolic tetrahedron grows exponentially and the leading term is given by the volume of the tetrahedron. This point is quite different from the asymptotics given in previous publications [\textit{J. Roberts}, Geom. Topol. 3, 21--66 (1999; Zbl 0918.22014) and \textit{Y. U. Taylor} and \textit{C. T. Woodward}, Sel. Math., New Ser. 11, No. 3--4, 539--571 (2005; Zbl 1162.17306)].