RT Journal Article
T1 BPS soliton-impurity models and supersymmetry
A1 Adam, Christoph
A1 Fernández Queiruga, José Manuel
A1 Wereszczynski, Andrzej
K1 Extended supersymmetry
K1 Field theories in lower dimensions
K1 Solitons monopoles and instantons
K1 Supersymmetric gauge theory
AB 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 CP1-impurity model and the Dzyaloshinskii-Moriya interaction energy.
PB Springer
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21384
UL http://hdl.handle.net/10347/21384
LA eng
NO Adam, 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)164
NO C.A and A.W. acknowledge  financial support from the Ministry of Education, Culture,and Sports, Spain (Grant No. FPA2017-83814-P), the Xunta de Galicia (Grant No. INCITE09.296.035PRand Conselleria de Educacion), the Spanish Consolider-Ingenio 2010Programme CPAN (CSD2007-00042), Maria de Maeztu Unit of Excellence MDM-2016-0692, and FEDER
DS Minerva
RD 24 abr 2026