$q$--Hypergeometric Functions in the Formalism of Free Fields
Alexei Morozov, Luc Vinet
TL;DR
This paper presents a novel representation of q-hypergeometric functions using correlators of vertex operators constructed from free scalar fields on the Riemann sphere, linking special functions with conformal field theory techniques.
Contribution
It introduces a new formalism connecting q-hypergeometric functions to free field vertex operator correlators, expanding the mathematical framework of special functions.
Findings
Representation of q-hypergeometric functions via vertex operator correlators
Establishment of a link between special functions and conformal field theory
Potential applications in mathematical physics and quantum algebra
Abstract
We describe a representation of the --hypergeometric functions of one variable in terms of correlators of vertex operators made out of free scalar fields on the Riemann sphere.
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