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\( \mathcal{N} =2\) SUSY abelian Higgs model with hidden sector and BPS equations. (English) Zbl 1388.81759

Summary: In this paper we study a system inspired on certain SUSY breaking models and on more recent Dark Matter scenarios. In our set-up, two abelian gauge fields interact via an operator that mixes their kinetic terms. We find the extended Supersymmetric version of this system, that also generates a Higgs portal type of interaction. We obtain and study both analytically and numerically, the equations defining topologically stable string-like objects. We check our results using two different approaches.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
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