Fermionic quasi-particle representations for characters of (G(1))1 × (G(1))1 (G(1))2

R. Kedem, T. R. Klassen, B. M. McCoy, E. Melzer

Research output: Contribution to journalArticle

Abstract

We present fermionic quasi-particle sum representations for some of the characters (or branching functions) of (G(1))1 × (G(1))1 (G(1))2 for all simply-laced Lie algebras G. For given G the charactters are written as the partition function of a set of rank G types of massless quasi-particles in certain charge sectors, with nontrivial lower bounds on the one-particle momenta. We discuss the non-uniqueness of the representation for the identity character of the critical Ising model, which arises in both the A1 and E8 cases.

Original languageEnglish (US)
Pages (from-to)263-270
Number of pages8
JournalPhysics Letters B
Volume304
Issue number3-4
DOIs
StatePublished - Apr 29 1993
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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