Low-Energy Kahler Potentials in Supersymmetric Gauge Theories with (ALMOST) Flat Directions

TL;DR

This paper develops a method to derive the low-energy effective theory for flat directions in supersymmetric gauge theories, focusing on the Kahler potential and its derivatives to understand light particle spectra and interactions.

Contribution

It introduces a holomorphic constraint approach to derive the Kahler potential and a simple procedure for calculating its derivatives on flat directions, applicable to complex models.

Findings

Derived the Kahler potential for D-flat directions maintaining supersymmetry

Presented a procedure for calculating derivatives of the Kahler potential

Illustrated the method with a chiral abelian model

Abstract

We derive the supersymmetric low-energy effective theory of the D-flat directions of a supersymmetric gauge theory. The Kahler potential of Affleck, Dine and Seiberg is derived by applying holomorphic constraints which manifestly maintain supersymmetry. We also present a simple procedure for calculating all derivatives of the Kahler potential at points on the flat direction manifold. Together with knowledge of the superpotential, these are sufficient for a complete determination of the spectrum and the interactions of the light degrees of freedom. We illustrate the method on the example of a chiral abelian model, and comment on its application to more complicated calculable models with dynamical supersymmetry breaking.