# BPS soliton-impurity models and supersymmetry

Adam, C.; Queiruga, Jose M.; Wereszczynski, A.

##### Abstract:
We 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 CP$^{1}$-impurity model and the Dzyaloshinskii-Moriya interaction energy.

 Zugehörige Institution(en) am KIT Institut für Theoretische Physik (ITP)Institut für Kernphysik (IKP) Publikationstyp Zeitschriftenaufsatz Jahr 2019 Sprache Englisch Identifikator ISSN: 1029-8479, 1126-6708, 1127-2236 KITopen-ID: 1000097259 HGF-Programm 51.03.06 (POF III, LK 01) Erschienen in Journal of high energy physics Band 2019 Heft 7 Seiten Art.-Nr.: 164 Bemerkung zur Veröffentlichung Gefördert durch SCOAP3 Schlagworte Extended Supersymmetry, Field Theories in Lower Dimensions, Solitons Monopoles and Instantons, Supersymmetric Gauge Theory Nachgewiesen in ScopusarXiv
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