Holomorphy and dynamical scales in supersymmetric gauge theories

TL;DR

This paper explores how holomorphy and symmetry principles in supersymmetric gauge theories determine the behavior of the gauge coupling as a chiral superfield, providing exact functional relations and consistency checks.

Contribution

It extends previous results by analyzing the gauge coupling as a chiral superfield and deriving its exact dependence on other couplings within an effective quantum field theory framework.

Findings

Exact functional dependence of gauge coupling on other couplings

Consistency checks confirming the validity of the functional relations

Extension of holomorphy-based methods to dynamical gauge couplings

Abstract

New recent results in supersymmetric gauge theories based on holomorphy and symmetry considerations are extended to the case where the gauge coupling constant is given by the real part of a chiral superfield. We assume here that its dynamics can be described by an effective quantum field theory. Then its vacuum expectation value is a function of the other coupling constants, viewed as chiral background superfields. This functional dependence can be determined exactly and satisfies highly non-trivial consistency checks.