Noncommutative 1-cocycle in the Seiberg-Witten map
R. Jackiw, S.-Y. Pi
TL;DR
This paper explores the role of a noncommutative 1-cocycle in the Seiberg-Witten map, establishing a consistency condition crucial for noncommutative gauge theories.
Contribution
It reveals that the Seiberg-Witten map inherently involves a noncommutative 1-cocycle, providing a new perspective on the map's mathematical structure.
Findings
The cocycle condition enforces a key consistency requirement.
The noncommutative 1-cocycle is integral to the Seiberg-Witten map.
Previous derivations of the consistency condition are confirmed.
Abstract
We show that the Seiberg-Witten map for a noncommutative gauge theory involves a noncommutative 1-cocycle. The cocycle condition enforces a consistency requirement, which has been previously derived.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.