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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics