An Analysis on a Supersymmetric Chiral Gauge Theory with No Flat Direction

TL;DR

This paper proposes a guiding principle for determining the Kaehler potential in a specific supersymmetric chiral gauge theory, applies it to an SU(5) model, and analyzes the resulting low energy effective theory including supersymmetry breaking and particle spectrum.

Contribution

It introduces a new guiding principle for the Kaehler potential and constructs a consistent low energy effective theory for an SU(5) supersymmetric chiral gauge model.

Findings

Spontaneous supersymmetry breaking occurs in the low energy theory.

Explicit calculation of the particle mass spectrum.

Consistent construction of the low energy effective theory.

Abstract

A guiding principle to determine the Kaehler potential in the low energy effective theory of the supersymmetric chiral gauge theory with no flat direction is proposed. The guiding principle is applied to the SU(5) gauge theory with chiral superfields in the 5* and 10 representation, and the low energy effective theory is consistently constructed. The spontaneous supersymmetry breaking takes place in the low energy effective theory as expected. The particle mass spectrum in the low energy is explicitly calculated.