ROGERS-SCHUR-RAMANUJAN TYPE IDENTITIES FOR THE M(P,P') MINIMAL MODELSOF CONFORMAL FIELD-THEORY

We present and prove Rogers-Schur-Ramanujan (Bose/Fermi) type identiti es for the Virasoro characters of the minimal model M(p, p'). The proo f uses the continued fraction decomposition of p'/p, introduced by Tak ahashi and Suzuki for the study of the Bethe's Ansatz equations of the XXZ model and gives a general method to construct polynomial generali zations of the fermionic form of the characters which satisfy the same recursion relations as the bosonic polynomials of Forrester and Baxte r. We use this method to get fermionic representations of the characte rs chi(r,s)((p, p')) for many classes of r and s.