N=2 SUSY Abelian Higgs model with hidden sector and BPS equations

Preprint number: CP3-Origins-2014-52 DNRF90 and DIAS-2014-52
Authors: Paola Arias (Universidad de Santiago de Chile), Edwin Ireson (Swansea University), Carlos Núñez (Swansea University & CP3-Origins & DIAS), and Fidel Schaposnik (Universidad Nacional de La Plata)
External link: arXiv.org

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. Various technical details are explicitly stated for the benefit of various readers.