Chern-Simons in the Seiberg-Witten map for non-commutative Abelian gauge theories in 4D
| dc.creator | Picariello, Marco | |
| dc.creator | Quadri, Andrea | |
| dc.creator | Sorella, Silvio P. | |
| dc.date | 2001-10-10 | |
| dc.date.accessioned | 2026-07-07T08:11:38Z | |
| dc.date.available | 2026-07-07T08:11:38Z | |
| dc.description | A cohomological BRST characterization of the Seiberg-Witten (SW) map is given. We prove that the coefficients of the SW map can be identified with elements of the cohomology of the BRST operator modulo a total derivative. As an example, it will be illustrated how the first coefficients of the SW map can be written in terms of the Chern-Simons three form. This suggests a deep topological and geometrical origin of the SW map. The existence of the map for both Abelian and non-Abelian case is discussed. By using a recursive argument and the associativity of the $\star$-product, we shall be able to prove that the Wess-Zumino consistency condition for non-commutative BRST transformations is fulfilled. The recipe of obtaining an explicit solution by use of the homotopy operator is briefly reviewed in the Abelian case. | |
| dc.identifier | https://arxiv.org/abs/hep-th/0110101 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0110101 | |
| dc.identifier | JHEP 0201 (2002) 045 | |
| dc.identifier | doi:10.1088/1126-6708/2002/01/045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132185 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Chern-Simons in the Seiberg-Witten map for non-commutative Abelian gauge theories in 4D | |
| dc.type | text |