Cosmic string configuration in the supersymmetric CSKR theory

Abstract

We study a cosmic string solution of an ( N=1)-supersymmetric version of the Cremmer–Scherk–Kalb–Ramond (CSKR) model coupled to scalars and fermions. The 2-form gauge potential is proposed to couple non-minimally to matter, here described by a chiral scalar superfield. The important outcome is that supersymmetry is kept exact in the core and it may also hold in the exterior region of the string. We contemplate the configurations of the bosonic sector and we check that the solutions saturate the Bogomol'nyi bound. A glimpse on the fermionic zero modes is also given.