6j symbols for U_q(sl_2) and non-Euclidean tetrahedra

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We relate the semiclassical asymptotics of the 6j symbols for the representation theory of the quantized enveloping algebra U_q(sl_2) at q a primitive root of unity, or q positive real, to the geometry of non-Euclidean tetrahedra. The formulas are motivated by the geometry of conformal blocks in the Wess-Zumino-Witten model; they generalize formulas in the case q = 1 of Wigner, Ponzano and Regge, and Schulten and Gordon, proved by J. Roberts.
34 pages. Rewritten. To appear in Selecta Math

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Quantum Algebra, Symplectic Geometry, 20G42 (53D50)

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http://salesiana.dossiersoluciones.com/handle/123456789/67403

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305113
 http://arxiv.org/abs/math/0305113

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arXiv