Renormalizable supersymmetric gauge theory in six dimensions

TL;DR

This paper constructs a six-dimensional supersymmetric gauge theory with four derivatives, which is renormalizable and initially superconformal, aiming to develop an anomaly-free, ultraviolet-finite model.

Contribution

It introduces a novel 6D supersymmetric gauge theory with higher derivatives and analyzes its symmetry properties and renormalizability.

Findings

The theory is renormalizable with a dimensionless coupling constant.

At tree level, it exhibits superconformal symmetry.

Quantum anomalies break the superconformal symmetry.

Abstract

We construct and discuss a 6D supersymmetric gauge theory involving four derivatives in the action. The theory involves a dimensionless coupling constant and is renormalizable. At the tree level, it enjoys N = (1,0) superconformal symmetry, but the latter is broken by quantum anomaly. Our study should be considered as preparatory for seeking an extended version of this theory which would hopefully preserve conformal symmetry at the full quantum level and be ultraviolet-finite.