Quasi-Integrability in Supersymmetric Sine-Gordon Models

Abstract

The deformed supersymmetric sine-Gordon model, obtained through known deformation of the corresponding potential, is found to be quasi-integrable, like its non-supersymmetric counterpart, which was observed earlier. The system expectedly possesses finite number of conserved quantities, leaving-out an infinite number of non-conserved anomalous charges. The quasi-integrability of this supersymmetric model heavily rely on the boundary conditions of the potential, otherwise rendered to be completely non-integrable. Moreover, interesting additional algebraic structures appear, absent in the non-supersymmetric counterparts.

arXiv comment6 pages, To appear in Europhysics Letters

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• On Quasi-integrable Deformation Scheme of The KdV System
• Analysis and comparative study of non-holonomic and quasi-integrable deformations of the Nonlinear Schrödinger Equation