### Abstract

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 Z_{N}-parafermion theories, and relate the q→1 behaviour of all these fermionic sum representations to the thermodynamic Bethe ansatz.

Original language | English (US) |
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Pages (from-to) | 68-76 |

Number of pages | 9 |

Journal | Physics Letters B |

Volume | 307 |

Issue number | 1-2 |

DOIs | |

State | Published - Jun 10 1993 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Kedem, R., Klassen, T. R., McCoy, B. M., & Melzer, E. (1993). Fermionic sum representations for conformal field theory characters.

*Physics Letters B*,*307*(1-2), 68-76. https://doi.org/10.1016/0370-2693(93)90194-M