An analysis on a supersymmetric chiral gauge theory with no flat direction

TL;DR

This paper constructs and analyzes the low-energy effective theory of a supersymmetric SU(5) gauge model, revealing spontaneous symmetry breaking without large scale hierarchy and detailing the particle spectrum.

Contribution

It presents a novel analysis of a supersymmetric SU(5) gauge theory focusing on a Higgs picture with SU(4) confinement, including explicit calculations of symmetry breaking scales and spectrum.

Findings

Supersymmetry and global symmetries are spontaneously broken.

No large scale hierarchy is observed.

Explicit particle spectrum and Nambu-Goldstone particles are identified.

Abstract

The low energy effective theory of the N=1 supersymmetric SU(5) gauge theory with chiral superfields in the 5* and 10 representations is constructed. Instead of postulating the confinement of SU(5) (confining picture), only the confinement of its subgroup SU(4) is postulated (Higgs picture), and the effective fields are SU(4)-singlet but SU(5)-variant. The classical scalar potential which ensures unique supersymmetric vacuum at the classical level is incorporated into the Kaehler potential of the effective fields. We show that supersymmetry and all other global symmetry are spontaneously broken. The scales of these symmetry breaking and the particle spectrum including Nambu-Goldstone particles are explicitly calculated, and no large scale hierarchy is found.