BPS soliton-impurity models and supersymmetry

Abstract We find supersymmetric extensions of Bath Mats the half-BPS soliton-impurity models in (1+1) dimensions which preserve half of the N $$ mathcal{N} $$ = 1 supersymmetry.This is related to the fact that in the bosonic sector (i.e., the half-BPS soliton-impurity model), only one soliton (for example, the kink) is a BPS configuration which sol

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