Non(anti)commutative superspace with coordinate-dependent deformation

L G ALDROVANDI; F A SCHAPOSNIK; G A SILVA

PHYSICAL REVIEW D - PARTICLE AND FILDS

Año: 2005 vol. 72 p. 45005 - 45014

0556-2821

We consider non(anti)commutative superspace with coordinate-dependent deformation parameters Calphabeta. We show that a chiral 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 N=1/2 super Yang-Mills deformed theory can be constructed provided Calphabeta 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.