Quasimodular forms and sl(m|m)^ characters

Abstract

In this paper, we establish automorphic properties and asymptotic behaviors of characters due to Kac-Wakimoto pertaining to $s\ell (m|n{)}^{\wedge }$ highest weight modules in the case $m=n$, extending work of the first author and Ono \cite{BOKac} and the first two authors \cite{BF} which pertains to the case $m>n$.

Comments on the paper are welcome

References in corpus (1)

• Lectures on Quantum Black Holes