Principally specialized characters of sl(m|1)^-modules

Abstract

In this paper, we calculate a series of principally specialized characters of the $\widehat{\mathfrak{sl}}(m|1)$-modules of level 1. In particular, we show that the principally specialized characters of the basic modules $L({\Lambda }_0)$ is expressed as an infinite product. And we deduce the specialized character formula of ``quasiparticle'' type.

9 pages