Quasi-integrability in supersymmetric sine-Gordon models

SN Bose National Centre for Basic Sciences - JD Block, Sector III, Salt Lake, Kolkata 700106, India

Received: 8 August 2016
Accepted: 22 October 2016

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.