From rarefied elliptic beta integral to parafermionic star-triangle relation

Abstract

Abstract We consider the rarefied elliptic beta integral in various limiting forms. In particular, we obtain an integral identity for parafermionic hyperbolic gamma functions which describes the star-triangle relation for parafermionic Liouville theory.

Keywords

• Conformal Field Models in String Theory
• Supersymmetric Gauge Theory
• Conformal and W Symmetry