Seiberg-Witten maps from the point of view of consistent deformations of gauge theories

Abstract

Noncommutative versions of theories with a gauge freedom define (when they exist) consistent deformations of their commutative counterparts. General aspects of Seiberg-Witten maps are discussed from this point of view. In particular, the existence of the Seiberg-Witten maps for various noncommutative theories is related to known cohomological theorems on the rigidity of the gauge symmetries of the commutative versions. In technical terms, the Seiberg-Witten maps define canonical transformations in the antibracket that make the solutions of the master equation for the commutative and noncommutative versions coincide in their antifield-dependent terms. As an illustration, the on-shell reducible noncommutative Freedman-Townsend theory is considered.

18 pages Latex file, Section 5 on triviality of deformation removed, 1 reference added, minor misprints corrected, additional references in section 1

References in corpus (3)

• Noncommutative Field Theory
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Gauge theories of spacetime symmetries

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