This article reviews the generalization of field theory to space-time with noncommuting
coordinates, starting with the basics and covering most of the active directions of research …

A pedagogical and self-contained introduction to noncommutative quantum field theory is
presented, with emphasis on those properties that are intimately tied to string theory and …

The purpose of this paper is to describe a relationship between the moduli space of vortices
and the moduli space of instantons. We study charge vortices in Yang-Mills-Higgs theories …

The study of non-commutative solitons is greatly facilitated if the field equations are
integrable, ie result from a linear system. For the example of a modified but integrable U (n) …

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 …

We construct perturbative static solutions to the classical field equations of noncommutative
U (1) gauge theory for the three cases:(a) space-time noncommutativity,(b) space-space …

A new duality is proposed in four-dimensional flat space, which exchanges between spin
and orbital degrees of freedom. This is motivated by a Hodge decomposition of the angular …

We construct exact soliton solutions to the Chern-Simons-Higgs system in non-commutative
space, for non-relativistic and relativistic models. In both cases we find regular vortex-like …

Abstract The Chern-Simons theories on a noncommutative plane, which are shown to
describe the quantum Hall liquid, are considered. We introduce matter fields fundamentally …

Abstract We evaluate the Seiberg-Witten map for solitons and instantons in noncommutative
gauge theories in various dimensions. We show that solitons constructed using the …