Group Analysis of Differential Equations and Integrable Systems − 2018
Vyacheslav Spiridonov
(Joint Institute for Nuclear Research, Dubna & National Research University Higher
School of Economics, Moscow, Russia)
$6j$symbols for $SL(2,\mathbb{C})$ and Feynman diagrams
Abstract:
$6j$symbols (Racah coefficients) for tensor products of
unitary principal series representations of the $SL(2,\mathbb{C})$ group are
computed using the Feynman diagrams technique. They are given
either as a triple integral over the complex plane, or as an
infinite bilateral sum of of the MellinBarnes type integrals.
The final results differ from those obtained earlier by
Ismagilov by particular transitions to equivalent representations.
This is a joint work with S.E. Derkachov.
