Limitation on Magnitude of $D$-components

TL;DR

This paper investigates the constraints on the size of D-components in generic supersymmetric theories, highlighting conditions under which F-components dominate and establishing limitations on D-component magnitudes.

Contribution

It provides a theoretical analysis of the factors limiting D-component magnitudes in supersymmetric models without Fayet-Iliopoulos terms.

Findings

F-components can be comparable or larger than D-components under certain conditions.

Large hierarchies in charge spectrum affect D-component magnitudes.

Strongly interacting higher-dimensional couplings influence the D-component limitations.

Abstract

We study the magnitude of $D$-components in a generic supersymmetric field theory. There exists $F$-component whose vacuum expectation value is comparable to or bigger than that of $D$-component, in the absence of Fayet-Iliopoulos term, the large hierarchy in the charge spectrum and strongly interacting higher-dimensional couplings in the K\"ahler potential, if contributions from other terms than $F$ and $D$-terms are negligible.