Adam, ChristophFernández Queiruga, José ManuelWereszczynski, Andrzej2020-04-142020-04-142019Adam, C., Queiruga, J.M. & Wereszczynski, A. BPS soliton-impurity models and supersymmetry. J. High Energ. Phys. 2019, 164 (2019). https://doi.org/10.1007/JHEP07(2019)164http://hdl.handle.net/10347/21384We find supersymmetric extensions of the half-BPS soliton-impurity models in (1+1) dimensions which preserve half of the 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 solves the pertinent Bogomolnyi equation and saturates the topological energy bound. On the other hand, the topological charge conjugate state (the antikink) is not a BPS solution. This means that it obeys the full Euler-Lagrange equation and does not saturate the topological energy bound. The supersymmetric approach also allows us to construct half-BPS soliton-impurity models in (2+1) dimensions. Concretely, in the case of the CP1 model, its BPS impurity generalisation preserves one-quarter of the N = 2 SUSY, while for the Abelian Higgs model at critical coupling both impurity generalisations preserving one-quarter (the case of a new, so-called Higgs impurity) as well as one-half of the N = 2 SUSY (the case of the previously known magnetic impurity) are possible. We also discuss a possible relation between the BPS CP1-impurity model and the Dzyaloshinskii-Moriya interaction energy.eng© The Authors 2019. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are creditedhttps://creativecommons.org/licenses/by/4.0/Extended supersymmetryField theories in lower dimensionsSolitons monopoles and instantonsSupersymmetric gauge theoryjournal article10.1007/JHEP07(2019)1641029-8479open access