Embedding of bases: from the M(2,2k+1) to the M(3,4k+2-delta) models

Abstract

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(2,2k+1) into the M(3,4k+2-delta) ones, with 0 \leq delta \leq 3.

corrected a typo in the title, 7 pages

References in corpus (2)

• Andrews-Gordon identities from combinations of Virasoro characters
• A quasi-particle description of the M(3,p) models

Cited by in corpus (7)

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• Some remarks on associated varieties of vertex operator superalgebras
• Paths and partitions: combinatorial descriptions of the parafermionic states
• Path representation of su(2)_k states I: Operators and particles for k=1,2