D-brane solitons in various dimensions

TL;DR

This paper constructs and generalizes D-brane solitons, topological objects in higher-dimensional models, demonstrating strings ending on domain walls across various dimensions with topological charge considerations.

Contribution

It introduces a new class of D-brane solitons in higher-dimensional Skyrme and O(N) models, expanding understanding of topological solitons in theoretical physics.

Findings

Constructed D-brane solitons in 4+1 dimensions

Generalized solitons to diverse dimensions

Demonstrated strings ending on domain walls with topological charge

Abstract

We construct a D-brane soliton, a composite topological soliton sharing some properties with a D-brane, in a Skyrme model in 4+1 dimensions, in which Skyrmions are strings ending on a domain wall. We further generalize this D-brane soliton to diverse dimensions. A string, carrying the $\pi_{N-1}$ topological charge, ends on a domain wall in an O(N) model with higher-derivative terms in N+1 dimensions.