FERMIONIC SUM REPRESENTATIONS FOR CONFORMAL FIELD-THEORY CHARACTERS

We present sum representations for all characters of the unitary Viras oro 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 representatio ns for certain characters of the general (G(1))k X (G(1))l/(G(1))k+l c oset 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)-paraferm ion theories, and relate the q --> 1 behaviour of all these fermionic sum representations to the thermodynamic Bethe ansatz.