Generalized Rogers Ramanujan Expressions for Some Non--Singlet Twisted Affine Algebras

Abstract

Hatayama et al. described generalized Rogers--Ramanujan (GRR) expressions for the string functions of the singlet representation of twisted affine algebras. We give here such GRR expressions for some non-singlet string functions. In the case of the algebra $A_2^{(2)}$ this gives all the string functions. We verify these expressions using Freudenthal--Kac formula.

7 pages, no figures

References in corpus (1)

• On The Characters of Parafermionic Field Theories