Dirichlet Solitons in Field Theories

TL;DR

This paper introduces Dirichlet solitons, a new class of topological defect configurations in field theories where defects can end on higher-dimensional defects, with potential implications for supersymmetric theories.

Contribution

It proposes the concept of Dirichlet topological defects, providing a specific example and exploring extensions to supersymmetric theories.

Findings

Cosmic strings can terminate on domain walls.

Introduction of Dirichlet topological defects concept.

Potential for new research directions in supersymmetric theories.

Abstract

I briefly describe a new class of soliton configurations in field theories. These consist of topological defects which can end when they intersect other defects of equal or higher dimensionality. Such configurations may be termed ``Dirichlet topological defects'', in analogy with the D-branes of string theory. I provide a specific example - cosmic strings that terminate on domain walls - and discuss some new directions for this work, including an interesting and qualitatively different extension to supersymmetric theories.