Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems

Details Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems

2003-06-23

arxiv.org/abs/hep-th/0306215v2

JHEP 0307:067,2003

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 5 figures and one table; V2: references added

Scientific paper

10.1088/1126-6708/2003/07/067

We consider a deformed superspace in which the coordinates \theta do not anticommute, but satisfy a Clifford algebra. We present results on the properties of N=1/2 supersymmetric theories of chiral superfields in deformed superspace, taking the Wess-Zumino model as the prototype. We prove new (non)renormalization theorems: the F-term is radiatively corrected and becomes indistinguishable from the D-term, while the Fbar-term is not renormalized. Supersymmetric vacua are critical points of the antiholomorphic superpotential. The vacuum energy is zero to all orders in perturbation theory. We illustrate these results with several examples.

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