# Gauge theories on noncommutative euclidean spaces

@article{Schwarz2001GaugeTO, title={Gauge theories on noncommutative euclidean spaces}, author={Albert S. Schwarz}, journal={arXiv: High Energy Physics - Theory}, year={2001} }

We consider gauge theories on noncommutative euclidean space . In particular, we discuss the structure of gauge group following standard mathematical definitions and using the ideas of hep-th/0102182.

## 5 Citations

### D-Branes in Noncommutative Field Theory

- Physics
- 2005

A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory.…

### Instanton Expansion of Noncommutative Gauge Theory in Two Dimensions

- Mathematics, Physics

We show that noncommutative gauge theory in two dimensions is an exactly solv-able model. A cohomological formulation of gauge theory defined on the noncom-mutative torus is used to show that its…

### Instanton Expansion of Noncommutative Gauge Theory in Two Dimensions

- Mathematics
- 2002

AbstractWe show that noncommutative gauge theory in two dimensions is an exactly solvable model. A cohomological formulation of gauge theory defined on the noncommutative torus is used to show that…

### Noncommutative Solitons and D-branes

- Mathematics
- 2003

This thesis focuses on noncommutative instantons and monopoles and study various aspects of the exact solutions by using Atiyah-Drinfeld-Hitchin-Manin (ADHM) and Nahm constructions, and proposes noncommuter extensions of integrable systems and soliton theories in lower dimensions in collaboration with Kouichi Toda.

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