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.
Bibliographical noteFunding 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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics