N=1/2 Wess-Zumino model is renormalizable

TL;DR

This paper proves that the N=1/2 Wess-Zumino model, including higher-dimension operators, remains renormalizable to all orders in perturbation theory due to its non-hermitian structure, which is relevant in string theory contexts.

Contribution

It demonstrates the all-order renormalizability of the N=1/2 Wess-Zumino model with dimension-6 terms, expanding understanding of non-hermitian deformed supersymmetric theories.

Findings

Model is renormalizable to all orders

Higher-dimension operators do not spoil renormalizability

Relevance to string theory with graviphoton background

Abstract

The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains the dimension-6 term F^3, is shown to be renormalizable to all orders in perturbation theory, upon adding F and F^2 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.