Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action

TL;DR

This paper presents a new formulation for the effective low-energy action of 4D, N=1 supersymmetric QCD, embedding WZNW terms simply into chiral superactions and exploring supersymmetric sigma models with torsion after dimensional reduction.

Contribution

It introduces a novel formulation for the supersymmetric QCD effective action that maintains holomorphy and incorporates WZNW terms in a straightforward manner.

Findings

WZNW terms embedded simply into chiral superactions

New supersymmetric non-linear sigma models with torsion identified

Effective action consistent with holomorphy up to fourth order

Abstract

Within a four dimensional manifestly N = 1 supersymmetric action, we show that Wess-Zumino-Novikov-Witten (WZNW) terms can be embedded in an extraordinarily simple manner into a purely chiral superaction. In order to achieve this result it is necessary to assign spin-0 and spin-1/2 degrees of freedom both to chiral superfields and as well to non-minimal scalar multiplets. We propose a new formulation for the effective low-energy action of 4D, N = 1 supersymmetric QCD that is consistent with holomorphy through fourth order in the pion superfield. After reduction to a 2D, N = 2 theory we find a new class of manifestly supersymmetric non-linear sigma models with torsion.