Электронный каталог

Статья

Apresyan, E.
A Parafermionic Hypergeometric Function and Supersymmetric 6j-Symbols / E.Apresyan, G.Sarkissian, V.P.Spiridonov // Nuclear Physics B [Electronic resource]. – 2023. – Vol.990. – P.116170. – URL: https://doi.org/10.1016/j.nuclphysb.2023.116170. – Bibliogr.:34.

We study properties of a parafermionic generalization of the hyperbolic hypergeometric function appearing as the most important part in the fusion matrix for Liouville field theory and the Racah-Wigner symbols for the Faddeev modular double. We show that this generalized hypergeometric function is a limiting form of the rarefied elliptic hypergeometric function and derive its transformation properties and a mixed difference-recurrence equation satisfied by it. At the intermediate level we describe symmetries of a more general rarefied hyperbolic hypergeometric function. An important case corresponds to the supersymmetric hypergeometric function given by the integral appearing in the fusion matrix of super Liouville field theory and the Racah-Wigner symbols of the quantum algebra . We indicate relations to the standard Regge symmetry and prove some previous conjectures for the supersymmetric Racah-Wigner symbols by establishing their different parametrizations.



Спец.(статьи,препринты) = С 324.1е - Суперсимметричные теории. Супергравитация. Суперструны$
ОИЯИ = ОИЯИ (JINR)2023
Бюллетени = 1/023