Lagrangian Formulation of Symmetric Space sine-Gordon Models

Details Lagrangian Formulation of Symmetric Space sine-Gordon Models Lagrangian Formulation of Symmetric Space sine-Gordon Models

1995-12-06

arxiv.org/abs/hep-th/9512030v1

Phys.Lett. B372 (1996) 45-52

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/0370-2693(96)00026-3

The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim $\sigma$-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups $F \supset G \supset H$. We show that for every symmetric space $F/G$, the generalized sine-Gordon models can be derived from the $G/H$ WZW action, plus a potential term that is algebraically specified. Thus, the symmetric space sine-Gordon models describe certain integrable perturbations of coset conformal field theories at the classical level. We also briefly discuss their vacuum structure, Backlund transformations, and soliton solutions.

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