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A Note on ADE-Spectra in Conformal Field Theory

Bytsko, A. G. and Fring, A. (1999). A Note on ADE-Spectra in Conformal Field Theory. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 454(1-2), pp. 59-69. doi: 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.

Publication Type: Article
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Date Deposited: 06 Apr 2016 09:22
Text - Accepted Version
Available under License Creative Commons: Attribution International Public License 4.0.

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