Towards a diagrammatic derivation of the Veneziano-Yankielowicz-Taylor superpotential

TL;DR

This paper presents a diagrammatic method to derive a key component of the Veneziano-Yankielowicz-Taylor superpotential by integrating out chiral matter fields in N=1 supersymmetric theories.

Contribution

It introduces a simple diagrammatic approach to derive the superpotential component by integrating out matter fields, offering a new perspective on supersymmetric effective actions.

Findings

Derived the superpotential component diagrammatically

Simplified the process of integrating out matter fields

Provided insights into the structure of supersymmetric theories

Abstract

We show how it is possible to integrate out chiral matter fields in N=1 supersymmetric theories and in this way derive in a simple diagrammatic way the $N_f S \log S - S \log \det X$ part of the Veneziano-Yankielowicz-Taylor superpotential.