6j symbols for U_q(sl_2) and non-Euclidean tetrahedra
Quantum Algebra
2007-05-23 v3 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/0305113,
title = {6j symbols for U_q(sl_2) and non-Euclidean tetrahedra},
author = {Yuka U. Taylor and Christopher T. Woodward},
journal= {arXiv preprint arXiv:math/0305113},
year = {2007}
}
Comments
34 pages. Rewritten. To appear in Selecta Math