Chern-Simons in the Seiberg-Witten map for non-commutative Abelian gauge theories in 4D
Clicks: 33
ID: 273431
2002
Article Quality & Performance Metrics
Overall Quality
Improving Quality
0.0
/100
Combines engagement data with AI-assessed academic quality
Reader Engagement
Emerging Content
3.0
/100
10 views
10 readers
Trending
AI Quality Assessment
Not analyzed
Abstract
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 -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.
| Reference Key |
sorella2002journalchern-simons
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | Marco Picariello,Andrea Quadri,Silvio P. Sorella;Marco Picariello;Andrea Quadri;Silvio P. Sorella; |
| Journal | journal of high energy physics |
| Year | 2002 |
| DOI |
10.1088/1126-6708/2002/01/045
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.