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

High Energy Physics - Theory 2022-09-07 v1 Mathematical Physics math.MP

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 A2(2)A_2^{(2)} this gives all the string functions. We verify these expressions using Freudenthal--Kac formula.

Keywords

Cite

@article{arxiv.2204.10601,
  title  = {Generalized Rogers Ramanujan Expressions for Some Non--Singlet Twisted Affine Algebras},
  author = {Doron Gepner},
  journal= {arXiv preprint arXiv:2204.10601},
  year   = {2022}
}

Comments

7 pages, no figures