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Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo
We construct explicit BPS and non-BPS solutions of the U(2k) Yang-Mills equations on the noncommutative space R^{2n}_θx S^2 with finite energy and topological charge. By twisting w…
A New Matrix Model for Noncommutative Field Theory
Giovanni Landi, Fedele Lizzi, Richard J. Szabo
We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans induc…
D-Branes in Topological Membranes
P. Castelo Ferreira, I. I. Kogan, R. J. Szabo
It is shown how two-dimensional states corresponding to D-branes arise in orbifolds of topologically massive gauge and gravity theories. Brane vertex operators naturally appear in…
Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
E. Langmann, R. J. Szabo, K. Zarembo
We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field…
Lectures on Two-Dimensional Noncommutative Gauge Theory 2: Quantization
L. D. Paniak, R. J. Szabo
These notes comprise the second part of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. Here we shall deal w…
Lectures on Two-Dimensional Noncommutative Gauge Theory 1. Classical Aspects
L. D. Paniak, R. J. Szabo
These notes comprise the first of two articles devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. This first part deals sole…