S-move matrix in the NS sector of $N=1$ super Liouville field theory

Autor: Apresyan, Elena, Sarkissian, Gor
Rok vydání: 2023
Předmět:
Zdroj: JHEP 07 (2024), 127
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP07(2024)127
Popis: In this paper we calculate matrix of modular transformations of the one-point toric conformal blocks in the Neveu-Schwarz sector of $N=1$ super Liouville field theory. For this purpose we use explicit expression for this matrix as integral of product of certain elements of fusion matrix. This integral is computed using the chain of integral identities for supersymmetric hyperbolic gamma functions derived by the degeneration of the integrals of parafermionic elliptic gamma functions.
Comment: 31 pages
Databáze: arXiv