Six-dimensional Abelian vortices with quadratic curvature self-interactions

TL;DR

This paper investigates six-dimensional Abelian vortices within a quadratic gravity framework, revealing new regular solutions and the potential for warped compactification, expanding understanding of vortex solutions in higher-dimensional gravity theories.

Contribution

It introduces new regular vortex solutions in six dimensions with quadratic curvature, demonstrating the effects of Euler-Gauss-Bonnet interactions on their properties.

Findings

Existence of new regular solutions compared to Einstein-Hilbert gravity

Tunable relations among string tensions for warped compactification

Discussion of the model's parameter space

Abstract

Six-dimensional Nielsen-Olesen vortices are analyzed in the context of a quadratic gravity theory containing Euler-Gauss-Bonnet self-interactions. The relations among the string tensions can be tuned in such a way that the obtained solutions lead to warped compactification on the vortex. New regular solutions are possible in comparison with the case where the gravity action only consists of the Einstein-Hilbert term. The parameter space of the model is discussed