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arXiv · hep-th/0111049

On the Space-Time Symmetries of Non-Commutative Gauge Theories

A. Iorio·T. Sykora
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Abstract

We study the space-time symmetries and transformation properties of the non-commutative U(1) gauge theory, by using Noether charges. We carry out our analysis by keeping an open view on the possible ways $θ^{μν}$ could transform. We conclude that $θ^{μν}$ cannot transform under any space-time transformation since the theory is not invariant under the conformal transformations, with the only exception of space-time translations. The same analysis applies to other gauge groups.

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A. Iorio, T. Sykora. 2001-11-06. On the Space-Time Symmetries of Non-Commutative Gauge Theories. https://doi.org/10.1142/s0217751x02009874

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