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arXiv · hep-th/0108045

Noncommutative Lorentz Symmetry and the Origin of the Seiberg-Witten Map

A. A. Bichl·J. M. Grimstrup·H. Grosse·E. Kraus·L. Popp·M. Schweda·R. Wulkenhaar
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Abstract

We show that the noncommutative Yang-Mills field forms an irreducible representation of the (undeformed) Lie algebra of rigid translations, rotations and dilatations. The noncommutative Yang-Mills action is invariant under combined conformal transformations of the Yang-Mills field and of the noncommutativity parameter θ. The Seiberg-Witten differential equation results from a covariant splitting of the combined conformal transformations and can be computed as the missing piece to complete a covariant conformal transformation to an invariance of the action.

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A. A. Bichl, J. M. Grimstrup, H. Grosse, E. Kraus, L. Popp, M. Schweda, R. Wulkenhaar. 2001-10-25. Noncommutative Lorentz Symmetry and the Origin of the Seiberg-Witten Map. https://doi.org/10.1007/s100520100857

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