Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections

TL;DR

This paper investigates dyonic non-Abelian vortex strings in various gauge theories, revealing that their non-BPS tensions closely match BPS dyon formulas and developing an effective theory approach including higher derivative corrections.

Contribution

It introduces a new method to derive effective theories of vortex strings with all-order derivative corrections and uncovers a novel dyonic vortex string with dynamic internal orientations.

Findings

Non-BPS vortex tensions approximate BPS dyon formulas.

Effective theory including all derivative orders is constructed.

Discovery of a dyonic vortex with rotating internal orientations.

Abstract

Dyonic non-Abelian local/semi-global vortex strings are studied in detail in supersymmetric/non-supersymmetric Yang-Mills-Higgs theories. While the BPS tension formula is known to be the same as that for the BPS dyonic instanton, we find that the non-BPS tension formula is approximated very well by the well-known tension formula of the BPS dyon. We show that this mysterious tension formula for the dyonic non-BPS vortex stings can be understood from the perspective of a low energy effective field theory. Furthermore, we propose an efficient method to obtain an effective theory of a single vortex string, which includes not only lower derivative terms but also all order derivative corrections by making use of the tension formula. We also find a novel dyonic vortex string whose internal orientation vectors rotate in time and spiral along the string axis.