Cosmic strings with twisted magnetic flux lines and wound-strings in extra dimensions

TL;DR

This paper explores complex string solutions with twisted magnetic flux lines and extra-dimensional windings, revealing how extra-dimensional effects can be modeled by topological defect structures.

Contribution

It generalizes the Nielsen-Olesen vortex ansatz to include twisted flux lines and connects string theory with field-theoretic models of topological defects.

Findings

Strings with twisted flux lines lack cylindrical symmetry.

Matching conditions ensure energy and momentum conservation for string loops.

Extra-dimensional effects can be mimicked by field-theoretic structures.

Abstract

We consider a generalization of the Nielsen-Olesen ansatz, in an abelian-Higgs model with externally coupled charge, which describes strings with twisted magnetic flux lines in the vortex core. The solution does not possess cylindrical symmetry, which leads to the existence of components of conserved momentum, both around the core-axis and along the length of the string. In addition, we consider a model of F-strings with rotating, geodesic windings in the compact space of the Klebanov-Strassler geometry and determine matching conditions which ensure energy and momentum conservation when loops chop off from the long-string network. We find that the expressions for the constants of motion, which determine the macroscopic string dynamics, can be made to coincide with those for the twisted flux line string, suggesting that extra-dimensional effects for F-strings may be mimicked by field- theoretic structure in topological defects.