Noncommutative Solitons in Open N=2 String Theory

TL;DR

This paper explores noncommutative solitons in open N=2 string theory, demonstrating solution generation via the dressing approach and modeling D0-branes within D2-branes.

Contribution

It applies the dressing method to construct explicit noncommutative solitons in an integrable sigma model derived from string theory.

Findings

Constructed moving U(1) and U(2) solitons

Computed soliton energies

Outlined multi-soliton configurations with arbitrary motion

Abstract

Coincident D2-branes in open N=2 fermionic string theory with a B-field background yield an integrable modified U(n) sigma model on noncommutative R^{2,1}. This model provides a showcase for an established method (the `dressing approach') to generate solutions for integrable field equations, even in the noncommutative case. We demonstrate the technique by constructing moving U(1) and U(2) solitons and by computing their energies. It is outlined how to derive multi-soliton configurations with arbitrary relative motion; they correspond to D0-branes moving inside the D2-branes.