Localized D-dimensional global k-defects

TL;DR

This paper constructs explicit static global defect solutions in arbitrary dimensions with finite energy, using non-standard kinetic terms, and explores their stability and potential implications for dark matter and graphene.

Contribution

It introduces a new class of stable, finite-energy global defect solutions in higher dimensions with non-standard kinetic terms, expanding the understanding of defect configurations.

Findings

Existence of finite-energy static defect solutions in arbitrary dimensions.

Analytical profiles of defects at small and large distances.

Discussion of stability and implications for dark matter and graphene.

Abstract

We explicitly demonstrate the existence of static global defect solutions of arbitrary dimensionality whose energy does not diverge at spatial infinity, by considering maximally symmetric solutions described by an action with non-standard kinetic terms in a D+1 dimensional Minkowski space-time. We analytically determine the defect profile both at small and large distances from the defect centre. We verify the stability of such solutions and discuss possible implications of our findings, in particular for dark matter and charge fractionalization in graphene.