Supersymmetric and Gauge-Invariant Path Integral Measure in $\mathcal N=2$ SQCD

TL;DR

This paper constructs a gauge-invariant path integral measure for four-dimensional $ ext{N}=2$ SQCD using $ ext{N}=1$ superfields and derives the $ ext{N}=2$ chiral anomaly in a supersymmetry-preserving way.

Contribution

It introduces a novel $ ext{N}=2$ supersymmetric, gauge-invariant measure and derives the $ ext{N}=2$ chiral anomaly while maintaining supersymmetry.

Findings

Defined an $ ext{N}=2$ supersymmetric, gauge-invariant path integral measure.

Derived the $ ext{N}=2$ chiral anomaly in a supersymmetry-preserving manner.

Abstract

We define $\mathcal N=2$ supersymmetric and gauge-invariant path integral measure in $D=4$, $\mathcal N=2$ SQCD in terms of $\mathcal N=1$ superfields. As a further consequence, we derive the $\mathcal N=2$ version of the chiral anomaly in an $\mathcal{N}=2$ supersymmetry-preserving manner.