Fermionic zero modes on a toroidal cosmic string

Details Fermionic zero modes on a toroidal cosmic string Fermionic zero modes on a toroidal cosmic string

2005-11-23

arxiv.org/abs/hep-th/0511235v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We consider a toroidal configuration of cosmic string in 3+1 dimensions in an abelian Higgs model, a compactification of the Nielsen-Olesen string. This object is classically unstable. We explicitly compute the number of permitted zero modes for majorana fermions coupled to such a string. As in the case of indefinitely long strings, there are |n| zero modes for winding number sector n, and correspondingly, induced fermionic charge n/2 which canbe fractional. According to a previously proved result, this implies quantum mechanical stability for objects with odd winding number. The result is of significance to cosmology in classes of unified theories permitting such cosmic strings.

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