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Noncommutative solitons in open N = 2 string theory

Olaf Lechtenfeld1, Alexander D. Popov1 and Bernd Spendig1

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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 Bbb R2,1. 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.


Keywords

Integrable Field Theories

Solitons Monopoles and Instantons

D-branes

Non-Commutative Geometry

PACS

11.10.Nx Noncommutative field theory

11.25.Uv D branes

11.10.Cd Axiomatic approach

02.40.Gh Noncommutative geometry

11.10.Lm Nonlinear or nonlocal theories and models

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 06 ( 1 June 2001)

Received 23 March 2001, accepted for publication 5 June 2001

Published 19 June 2001



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