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• W3098365865 abstract "We argue that Poincar'e symmetry can be implemented in NCFT if we allow the parameter of noncommutitive deformation $theta^{munu}$ to change as a two-tensor under the corresponding space-time symmetry. The implementation is consistent with the definition of $theta^{munu}$ in terms of space-time coordinates and with the Moyal star product. Inspired from the standard definition of a variational symmetry we found a universal way to correct the implementation of the Poincar'e symmetry by a term proportional to the variation of $theta^{munu}$ in such a way that the new transformation define a symmetry of the theory. Finally we present as an example the case of NCYM theory and comment about the obstructions to implement generalized space-time symmetries in NCFT like conformal or diffeomorphism transformations." @default.
• W3098365865 created "2020-11-23" @default.
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• W3098365865 date "2010-12-20" @default.
• W3098365865 modified "2023-10-03" @default.
• W3098365865 title "A NOTE ON THE IMPLEMENTATION OF POINCARÉ SYMMETRY IN NONCOMMUTATIVE FIELD THEORY" @default.
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• W3098365865 doi "https://doi.org/10.1142/s0217751x10051074" @default.
• W3098365865 hasPublicationYear "2010" @default.
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