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

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elementary excitations
Ising model
partitions
algebra
sectors
momentum

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Fermionic quasi-particle representations for characters of (G(1))1 × (G(1))1 (G(1))2. / Kedem, R.; Klassen, T. R.; McCoy, B. M.; Melzer, E.

In: Physics Letters B, Vol. 304, No. 3-4, 29.04.1993, p. 263-270.

Research output: Contribution to journalArticle

Kedem, R. ; Klassen, T. R. ; McCoy, B. M. ; Melzer, E. / Fermionic quasi-particle representations for characters of (G(1))1 × (G(1))1 (G(1))2. In: Physics Letters B. 1993 ; Vol. 304, No. 3-4. pp. 263-270.
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