Noncommutative 1-cocycle in the Seiberg-Witten map

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.

6 pages; email correspondence to R. Jackiw <[email protected]>; missing factors of i inserted, one reference added

References in corpus (2)

• Construction of non-Abelian gauge theories on noncommutative spaces
• A Cohomological Approach to the Non-Abelian Seiberg-Witten Map

Cited by in corpus (6)

• The Gauge Anomaly and the Seiberg-Witten Map
• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Observations on noncommuting coordinates and on fields depending on them
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• Noncommuting fields and non-Abelian fluids
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect