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Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions

arXiv:hep-th/9506157 · doi:10.1016/0370-2693(95)01072-X

Abstract

Integrability and supersymmetry of the supersymmetric extension of the sine-Gordon theory on a half-line are examined and the boundary potential which preserves both the integrability and supersymmetry on the bulk is derived. It appears that unlike the boundary bosonic sine-Gordon theory, integrability and supersymmetry strongly restrict the form and parameters of the boundary potential, so that no free parameter in the boundary term is allowed up to a choice of signs.

Latex 9 pages, submitted to Phys. Lett. B