Generalizations of the Andrews-Bressoud Identities for the $N=1$ Superconformal Model $SM(2,4\nu)$

Abstract

We present generalized Rogers-Ramanujan identities which relate the fermi and bose forms of all the characters of the superconformal model $SM(2,4\nu).$ In particular we show that to each bosonic form of the character there is an infinite family of distinct fermionic $q-$ series representations.Comment: 17 pages in harvmac, no figures, submitted as part of the proceedings of ``Physique et Combinatiore'' held at CIRM Luminy March 27-31, 199