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

G. Barnich·M. Grigoriev·M. Henneaux
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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.

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G. Barnich, M. Grigoriev, M. Henneaux. 2001-09-07. Seiberg-Witten maps from the point of view of consistent deformations of gauge theories. https://doi.org/10.1088/1126-6708%2F2001%2F10%2F004

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