# On noncommutative and commutative equivalence for BFYM theory : : Seiberg-Witten map

@article{Benaoum2000OnNA, title={On noncommutative and commutative equivalence for BFYM theory : : Seiberg-Witten map}, author={Hachemi B. Benaoum}, journal={arXiv: High Energy Physics - Theory}, year={2000} }

BFYM on commutative and noncommutative ${\mathbb{R}}^4$ is considered and a Seiberg-Witten gauge-equivalent transformation is constructed for these theories. Then we write the noncommutative action in terms of the ordinary fields and show that it is equivalent to the ordinary action up to higher dimensional gauge invariant terms.

## 7 Citations

### Seiberg-Witten map and topology

- Physics
- 2002

Abstract The mapping of topologically nontrivial gauge transformations in noncommutative gauge theory to corresponding commutative ones is investigated via the operator form of the Seiberg–Witten…

### Moyal Deformation, Seiberg–Witten Maps, and Integrable Models

- Mathematics
- 2000

A covariant formalism for Moyal deformations of gauge theory and differential equations which determine Seiberg–Witten maps is presented. Replacing the ordinary product of functions by the…

### The noncommutative Lorentzian cylinder as an isospectral deformation

- Mathematics
- 2004

We present a new example of a finite-dimensional noncommutative manifold, namely, the noncommutative cylinder. It is obtained by isospectral deformation of the canonical triple associated with the…

### Electric magnetic duality in IIB matrix model with D-brane

- Mathematics
- 2000

We consider electric-magnetic duality(S-duality) in IIB matrix model with a D3-brane background. We propose the duality transformation by considering that of noncommutative Yang-Mills theory(NCYM) in…

## References

SHOWING 1-7 OF 7 REFERENCES

### Noncommutative Geometry

- Mathematics
- 1997

Noncommutative Spaces It was noticed a long time ago that various properties of sets of points can be restated in terms of properties of certain commutative rings of functions over those sets. In…

### Commun. Math. Phys

- Commun. Math. Phys
- 1997

### Nucl. Phys. B

- Nucl. Phys. B

### hep-th/9912094, hep-th/9912167; I.Y. Aref'eva and I.V. Volovich, hep-th/9907114

- hep-th/9912124; M. Hayakawa

### Phys. Rev. Lett

- Phys. Rev. Lett
- 1999