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arxiv: hep-th/0106188 · v3 · submitted 2001-06-20 · ✦ hep-th

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

classification ✦ hep-th
keywords mapsnoncommutativeseiberg-wittencommutativegaugetheoriesversionsconsistent
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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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