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.

N1 - Funding Information:
We are pleased to acknowledge fruitful discussions with Dr. G. Albertini and Dr. S. Dasmahapatra, and thank Prof. A. Kuniba for a useful comment. The work of R.K. and B.M.M. was partially supported by the National Science Foundation under grant DMR-9106648. The work of T.R.K. was supported by NSERC and the Department of Energy, grant DE-FG05-90ER40559, and that of E.M. by NSF grant 91-08054.

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.

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

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

M3 - Article

AN - SCOPUS:0001927173

SN - 0370-2693

VL - 307

SP - 68

EP - 76

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2

ER -