Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories

TL;DR

This paper develops a superfield quantization method for N=1 chiral/nonminimal scalar multiplets, explores their coupling to gauge fields, and analyzes related supersymmetric Yang-Mills theories, including one-loop effects and anomalies.

Contribution

It introduces a covariant quantization framework for CNM multiplets coupled to gauge superfields and investigates their role in supersymmetric Yang-Mills theories.

Findings

Computed one-loop effective action contributions.

Analyzed the Konishi anomaly in this context.

Discussed properties of the glueball superpotential.

Abstract

We give the superfield quantization of chiral/nonminimal (CNM) scalar multiplets defined by pairs of N=1 chiral and complex linear scalar superfields kinematically coupled. In the pure massive case we develop the covariant quantization when CNM multiplets are coupled to background gauge superfields. Furthermore, we study some properties of N=1 supersymmetric Yang--Mills theories constructed using CNM scalar matter superfields. In particular, we compute the one--loop contribution to the effective action for the matter superfields, we study the analogue of the Konishi anomaly and discuss some properties of the glueball superpotential.