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Elsevier, Nuclear Physics B, 3(518), p. 745-769, 1998

DOI: 10.1016/s0550-3213(98)00060-1

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Semi-classical spectrum of the Homogeneous sine-Gordon theories

Journal article published in 1997 by Carlos R. Fernández-Pousa ORCID, J. Luis Miramontes
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

The semi-classical spectrum of the Homogeneous sine-Gordon theories associated with an arbitrary compact simple Lie group G is obtained and shown to be entirely given by solitons. These theories describe quantum integrable massive perturbations of Gepner's G-parafermions whose classical equations-of-motion are non-abelian affine Toda equations. One-soliton solutions are constructed by embeddings of the SU(2) complex sine-Gordon soliton in the regular SU(2) subgroups of G. The resulting spectrum exhibits both stable and unstable particles, which is a peculiar feature shared with the spectrum of monopoles and dyons in N=2 and N=4 supersymmetric gauge theories. ; Comment: 28 pages, plain TeX, no figures