Embedding of bases: from the M(2,2k+1) to the M(3,4k+2-delta) models
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/0511040,
title = {Embedding of bases: from the M(2,2k+1) to the M(3,4k+2-delta) models},
author = {P. Jacob and P. Mathieu},
journal= {arXiv preprint arXiv:hep-th/0511040},
year = {2008}
}
Comments
corrected a typo in the title, 7 pages