Non(anti)commutative superspace with coordinate-dependent deformation

Details Non(anti)commutative superspace with coordinate-dependent deformation Non(anti)commutative superspace with coordinate-dependent deformation

2005-05-24

arxiv.org/abs/hep-th/0505217v2

Phys.Rev. D72 (2005) 045005

Physics

High Energy Physics

High Energy Physics - Theory

References added. Accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.72.045005

We consider non(anti)commutative superspace with coordinate dependent deformation parameters $C^{\alpha\beta}$. 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 $C^{\alpha\beta}$ 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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