New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions

摘要

We present a new path description for the states of the non-unitaryM(k+1,2k+3) models. This description differs from the one induced by theForrester-Baxter solution, in terms of configuration sums, of theirrestricted-solid-on-solid model. The proposed path representation is actuallyvery similar to the one underlying the unitary minimal models M(k+1,k+2), withan analogous Fermi-gas interpretation. This interpretation leads to fermionicexpressions for the finitized M(k+1,2k+3) characters, whose infinite-lengthlimit represent new fermionic characters for the irreducible modules. TheM(k+1,2k+3) models are also shown to be related to the Z_k graded parafermionsvia a (q to 1/q) duality transformation.