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

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.