N=1/2 Wess-Zumino model is renormalizable.

Phys Rev Lett

Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA.

Published: November 2003

The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains the dimension-6 term F3, is shown to be renormalizable to all orders in perturbation theory, upon adding F and F2 terms to the original Lagrangian. The renormalizability is possible, even with this higher-dimension operator, because the Lagrangian is not Hermitian. Such deformed field theories arise naturally in string theory with a graviphoton background.

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http://dx.doi.org/10.1103/PhysRevLett.91.201601DOI Listing

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