The non-anticommutative supersymmetric U(1) gauge theory
I. Jack, D.R.T. Jones, R. Purdy
TL;DR
This paper investigates the renormalization properties of a four-dimensional non-anticommutative N=1/2 supersymmetric U(1) gauge theory, demonstrating its renormalizability and equivalence of different formulations.
Contribution
It provides a detailed one-loop renormalization analysis of the non-anticommutative supersymmetric U(1) gauge theory including a superpotential, establishing its renormalizability.
Findings
The theory is renormalizable at one-loop level.
Eliminated and uneliminated formulations yield equivalent results.
Complete set of terms necessary for renormalizability identified.
Abstract
We discuss the non-anticommutative (N=1/2) supersymmetric U(1) gauge theory in four dimensions, including a superpotential. We perform the one-loop renormalisation of the model, including the complete set of terms necessary for renormalisability, showing in detail how the eliminated and uneliminated forms of the theory lead to equivalent results.
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