Generalized Rogers Ramanujan Expressions for Some Non--Singlet Twisted Affine Algebras (2204.10601v1)

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.