Cosmic String in the Supersymmetric CSKR Theory

TL;DR

This paper investigates a supersymmetric cosmic string solution within the CSKR theory, demonstrating that supersymmetry remains intact throughout the string and that solutions saturate the Bogomolnyi bound, with insights into fermionic zero modes.

Contribution

It introduces a supersymmetric cosmic string solution in the CSKR theory with non-minimal matter coupling, maintaining exact supersymmetry and saturating the Bogomolnyi bound.

Findings

Supersymmetry is preserved in both the core and exterior of the string.

Solutions saturate the Bogomolnyi bound, indicating stability.

Fermionic zero modes are briefly discussed.

Abstract

We study a cosmic string solution of an N=1-supersymmetric version of the Cremmer-Scherk-Kalb-Ramond (CSKR) Lagrangian coupled to a vector superfield by means of a topological mass term. 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 both in the core and in the exterior region of the string. We contemplate the bosonic configurations and it can be checked that the solutions saturate the Bogomolnyi bound. A glimpse on the fermionic zero modes is also given.