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Abstract: We investigate symmetries of the scalar field theory with harmonic term onthe Moyal space with euclidean scalar product and general symplectic form. Theclassical action is invariant under the orthogonal group if this group actsalso on the symplectic structure. We find that the invariance under theorthogonal group can be restored also at the quantum level by restricting thesymplectic structures to a particular orbit.



Author: Axel de Goursac, Jean-Christophe Wallet

Source: https://arxiv.org/



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