Lagrangian formulation of symmetric space sine-Gordon models

Ioannis Bakas, Q. Han Park, Hyun Jong Shin

Research output: Contribution to journalArticlepeer-review

72 Citations (Scopus)


The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim σ-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 ⊃ G ⊃ 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, Bäcklund transformations, and soliton solutions.

Original languageEnglish
Pages (from-to)45-52
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
Publication statusPublished - 1996 Apr 4
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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