Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-18
Int.J.Mod.Phys.A25:5747-5764,2010
Physics
High Energy Physics
High Energy Physics - Theory
22 pages.
Scientific paper
10.1142/S0217751X10051074
We argue that Poincar\'e symmetry can be implemented in NCFT if we allow the parameter of noncommutitive deformation $\theta^{\mu\nu}$ to change as a two-tensor under the corresponding space-time symmetry. The implementation is consistent with the definition of $\theta^{\mu\nu}$ 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 $\theta^{\mu\nu}$ 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.
Cortese Ignacio
García Antonio J.
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