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Non(anti)commutative superspace with coordinate-dependent deformation

L. G. Aldrovandi·F. A. Schaposnik·G. A. Silva
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Abstract

We consider non(anti)commutative superspace with coordinate dependent deformation parameters $C^{αβ}$. We show that a chiral ${\cal N}=1/2$ supersymmetry can be defined and that chiral and antichiral superfields are still closed under the Moyal-Weyl associative product implementing the deformation. A consistent ${\cal N}=1/2$ Super Yang-Mills deformed theory can be constructed provided $C^{αβ}$ satisfies a suitable condition which can be connected with the graviphoton background at the origin of the deformation. After adding matter we also discuss the Konishi anomaly and the gluino condensation.

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L. G. Aldrovandi, F. A. Schaposnik, G. A. Silva. 2005-07-21. Non(anti)commutative superspace with coordinate-dependent deformation. https://doi.org/10.1103/physrevd.72.045005

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