Fock space resolutions of the Virasoro highest weight modules with c<=1

TL;DR

This paper extends Felder's Fock space resolution construction to all irreducible Virasoro modules with central charge c≤1, including boundary and exterior representations of the Kac table.

Contribution

It provides new resolutions for all such modules, broadening the understanding of Virasoro algebra representations at c≤1.

Findings

Resolutions for boundary and exterior Kac table modules

Extension of Felder's construction to all c≤1 modules

Enhanced understanding of Virasoro module structures

Abstract

We extend Felder's construction of Fock space resolutions for the Virasoro minimal models to all irreducible modules with $c\leq 1$. In particular, we provide resolutions for the representations corresponding to the boundary and exterior of the Kac table.