TY - JOUR

T1 - Deformed coset models from gauged WZW actions

AU - Park, Q. Han

N1 - Funding Information:
I am grateful to Professor H.J. Shin for many useful discussions and constructive criticism, and to Professors I. Bakas, B.K. Chung, S. Nam, D. Kim and C. Lee for their help. This work was supported in part by the program of Basic Science Research, Ministry of Education, and by Korea Science and Engineering Foundation.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1994/6/2

Y1 - 1994/6/2

N2 - A general Lagrangian formulation of integrably deformed G/H-coset models is given. We consider the G/H-coset model in terms of the gauged Wess-Zumino-Witten action and obtain an integrable deformation by adding a potential energy term Tr(gTg-1T), where algebra elements T, T belong to the center of the algebra h associated with the subgroup H. We show that the classical equation of motion of the deformed coset model can be identified with the integrability condition of certain linear equations which makes the use of the inverse scattering method possible. Using the linear equation, we give a systematic way to construct infinitely many conserved currents as well as soliton solutions. In the case of the parafermionic SU(2)/U(1)-coset model, we derive n-solitons and conserved currents explicitly.

AB - A general Lagrangian formulation of integrably deformed G/H-coset models is given. We consider the G/H-coset model in terms of the gauged Wess-Zumino-Witten action and obtain an integrable deformation by adding a potential energy term Tr(gTg-1T), where algebra elements T, T belong to the center of the algebra h associated with the subgroup H. We show that the classical equation of motion of the deformed coset model can be identified with the integrability condition of certain linear equations which makes the use of the inverse scattering method possible. Using the linear equation, we give a systematic way to construct infinitely many conserved currents as well as soliton solutions. In the case of the parafermionic SU(2)/U(1)-coset model, we derive n-solitons and conserved currents explicitly.

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U2 - 10.1016/0370-2693(94)91487-7

DO - 10.1016/0370-2693(94)91487-7

M3 - Article

AN - SCOPUS:0002288648

VL - 328

SP - 329

EP - 336

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 - 3-4

ER -