Chiral anomalies in higher-derivative supersymmetric 6D gauge theories

TL;DR

This paper investigates chiral anomalies in higher-derivative six-dimensional supersymmetric gauge theories, revealing an anomaly that breaks gauge invariance and demonstrating its cancellation through the addition of an adjoint matter hypermultiplet.

Contribution

It identifies the presence of a chiral anomaly in higher-derivative 6D SYM theories and shows how to cancel it with an adjoint hypermultiplet, advancing understanding of anomaly cancellation in such theories.

Findings

Chiral anomaly exists in higher-derivative 6D SYM theories.

Adding an adjoint hypermultiplet cancels the anomaly.

Gauge invariance is restored after anomaly cancellation.

Abstract

We show that the recently constructed higher-derivative 6D SYM theory involves an internal chiral anomaly breaking gauge invariance. The anomaly is cancelled when adding to the theory an adjoint matter hypermultiplet.