Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-14
Phys.Lett. B454 (1999) 59-69
Physics
High Energy Physics
High Energy Physics - Theory
7 pages Latex
Scientific paper
10.1016/S0370-2693(99)00300-7
We demonstrate that certain Virasoro characters (and their linear combinations) in minimal and non-minimal conformal models which admit factorized forms are manifestly related to the ADE series. This permits to extract quasi-particle spectra of a Lie algebraic nature which resembles the features of Toda field theory. These spectra possibly admit a construction in terms of the $W_n$-generators. In the course of our analysis we establish interrelations between the factorized characters related to the parafermionic models, the compactified boson and the minimal models.
Bytsko Andrei G.
Fring Andreas
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