### 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) |
---|---|

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 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

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

**Fermionic sum representations for conformal field theory characters.** / Kedem, R.; Klassen, T. R.; McCoy, B. M.; Melzer, E.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 307, no. 1-2, pp. 68-76. https://doi.org/10.1016/0370-2693(93)90194-M

}

TY - JOUR

T1 - Fermionic sum representations for conformal field theory characters

AU - Kedem, R.

AU - Klassen, T. R.

AU - McCoy, B. M.

AU - Melzer, E.

PY - 1993/6/10

Y1 - 1993/6/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001927173&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001927173&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(93)90194-M

DO - 10.1016/0370-2693(93)90194-M

M3 - Article

AN - SCOPUS:0001927173

VL - 307

SP - 68

EP - 76

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -