73 citations · 423 across the 34 of their papers we have counts for
34 papers
Regge symmetry of 6j-symbols of the Lorentz group
Elena Apresyan, Gor Sarkissian
In this paper we derive new symmetry and new expression for -symbols of the unitary principal series representations of the group. This allowed us to derive…
S-move matrix in the NS sector of super Liouville field theory
Elena Apresyan, Gor Sarkissian
In this paper we calculate matrix of modular transformations of the one-point toric conformal blocks in the Neveu-Schwarz sector of super Liouville field theory. For this pur…
A parafermionic hypergeometric function and supersymmetric 6j-symbols
Elena Apresyan, Gor Sarkissian, Vyacheslav P. Spiridonov
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…
Elliptic hypergeometric function and -symbols for the SL(2,) group
S. E. Derkachov, G. A. Sarkissian, V. P. Spiridonov
We show that the complex hypergeometric function describing -symbols for group is a special degeneration of the -function -- an elliptic analogue of the E…
Complex hypergeometric functions and integrable many-body problems
G. A. Sarkissian, V. P. Spiridonov
General reduction of the elliptic hypergeometric equation to the level of complex hypergeometric functions is described. The derived equation is generalized to the Hamiltonian eige…
Rational hypergeometric identities
Gor A. Sarkissian, Vyacheslav P. Spiridonov
A special singular limit is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It brings…