Fermionic sum representations for conformal field theory characters

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

Research output: Contribution to journalArticlepeer-review


We present sum representations for all characters of the unitary Virasoro minimal models. They can be viewed as fermionic companions of the Rocha-Caridi sum representations, the latter related to the (bosonic) Feigin-Fuchs-Felder construction. We also give fermionic representations for certain characters of the general (G(1))k × (G(1))l (G(1))k+l coset conformal field theories, the non-unitary minimal models M(p, p+2) and M(p, kp+1), the N = 2 superconformal series, and the ZN-parafermion theories, and relate the q→1 behaviour of all these fermionic sum representations to the thermodynamic Bethe ansatz.

Original languageEnglish (US)
Pages (from-to)68-76
Number of pages9
JournalPhysics Letters B
Issue number1-2
StatePublished - Jun 10 1993
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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