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

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

2005-11-03

arxiv.org/abs/hep-th/0511040v2

Phys.Lett.B635:350-354,2006

Physics

High Energy Physics

High Energy Physics - Theory

corrected a typo in the title, 7 pages

Scientific paper

10.1016/j.physletb.2006.03.016

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.

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