Embedding of bases: From the Mu(2, 2 kappa+1) to the Mu(3, 4 kappa+2-delta) models

摘要

A new quasi-particle basis of states is presented for all the irreducible modules of the M(3, p) models. It is formulated in terms of a combination of Virasoro modes and the modes of the field phi(2,1). This leads to a fermionic expression for particular combinations of irreducible M (3, p) characters, which turns out to be identical with the previously known formula. Quite remarkably, this new quasi-particle basis embodies a sort of embedding, at the level of bases, of the minimal models M(2, 2 kappa + 1) into the M(3, 4 kappa + 2 - delta) ones, with 0 <= 8 <= 3. (c) 2006 Elsevier B.V. All rights reserved.