TY - JOUR

T1 - Lagrangian formulation of symmetric space sine-Gordon models

AU - Bakas, Ioannis

AU - Park, Q. Han

AU - Shin, Hyun Jong

N1 - Funding Information:
We thankT . Hollowooda nd K. Sfetsosf or useful discussionsin the early stageso f this work. LB. is alsog ratefutl o theC TP of SeoulN ationalU niversity, theP hysicsD epartmenotf KyungheeU niversitya, nd the Asian-PacificC enterf or TheoreticaPl hysicsf or financiasl upporat ndw armh ospitalityd uringh is visit to SouthK orea.Q .P. andH .J.S. ares upportedin part by thep rogramo f BasicS cienceR esearchM, inistryo f EducationB SRI-95-2442a, ndb y Korea Sciencea nd EngineeringF oundationth roughC TP/SNU.

PY - 1996/4/4

Y1 - 1996/4/4

N2 - 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.

AB - 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.

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U2 - 10.1016/0370-2693(96)00026-3

DO - 10.1016/0370-2693(96)00026-3

M3 - Article

AN - SCOPUS:0042134462

VL - 372

SP - 45

EP - 52

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -