Generalized Vertex Operators of Hall– Littlewood Polynomials as Twists of Charged Free Fermions

Abstract

Using twists of fields of charged free fermions, we revise the generalized vertex operator presentation of Hall–Littlewood polynomials, propose a new version of the deformed boson-fermion correspondence, and construct new examples of tau-functions of the KP hierarchy in the one-parameter deformation of the ring of symmetric functions Λ[t].