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Solitonic integrable perturbations of parafermionic theories

Carlos R. Fernandez-Pousa, Manuel V. Gallas, J.Luis Miramontes, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B499", Issue: 3, Pages: 673 - 689

Swansea University Author: Timothy Hollowood Orcid Logo

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Abstract

The quantum integrability of a class of massive perturbations of the parafermionic conformal field theories associated to compact Lie groups is established by showing that they have quantum conserved densities of scale dimension 2 and 3. These theories are integrable for any value of a continuous ve...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1997
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28570
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Abstract: The quantum integrability of a class of massive perturbations of the parafermionic conformal field theories associated to compact Lie groups is established by showing that they have quantum conserved densities of scale dimension 2 and 3. These theories are integrable for any value of a continuous vector coupling constant, and they generalize the perturbation of the minimal parafermionic models by their first thermal operator. The classical equations-of-motion of these perturbed theories are the non-abelian affine Toda equations which admit (charged) soliton solutions whose semi-classical quantization is expected to permit the identification of the exact S-matrix of the
College: Faculty of Science and Engineering
Issue: 3
Start Page: 673
End Page: 689