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

Yuka U. Taylor·Christopher T. Woodward
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Abstract

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.

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BibTeXRIS

Yuka U. Taylor, Christopher T. Woodward. 2005-05-13. 6j symbols for U_q(sl_2) and non-Euclidean tetrahedra. https://arxiv.org/abs/math/0305113

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