Seiberg-Witten map for the 4D noncommutative BF theory
L. C. Q. Vilar, O.S. Ventura, R. L. P. G. Amaral, V. E. R. Lemes, L., O. Buffon

TL;DR
This paper constructs the Seiberg-Witten map for 4D noncommutative BF theory, showing it can relate the noncommutative and commutative versions, supporting the idea that such maps exist for topological theories.
Contribution
It demonstrates the existence of the Seiberg-Witten map for 4D noncommutative BF theory, extending the applicability of the map to topological sectors.
Findings
Established the Seiberg-Witten map for 4D noncommutative BF theory
Confirmed the map relates abelian noncommutative and commutative theories
Supports the hypothesis of Seiberg-Witten maps for topological theories
Abstract
We describe the Seiberg-Witten map for the 4D noncommutative BF theory (NCBF). We establish the existence of a map taking the abelian NCBF into its commutative version, in agreement with the hypothesis that such maps are available for any noncommutative theory with Schwarz type topological sectors.
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