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

· 2003 · math.QA · arXiv math/0305113

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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.

fields

gr-qc 1

years

2019 1

verdicts

CONDITIONAL 1

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Quantum geometry from higher gauge theory

gr-qc · 2019-08-16 · conditional · novelty 7.0

The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.

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  • Quantum geometry from higher gauge theory gr-qc · 2019-08-16 · conditional · none · ref 111 · internal anchor

    The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.