Semi-classical spectrum of the Homogeneous sine-Gordon theories

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.

28 pages, plain TeX, no figures

References in corpus (4)

• Solitonic Integrable Perturbations of Parafermionic Theories
• Semi-classical Quantization in N=4 Supersymmetric Yang-Mills Theory and Duality
• ${\Phi }^{(2)}$ Perturbations of WZW Model
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