Super No-Scale Models with Pati-Salam Gauge Group

TL;DR

This paper constructs heterotic super no-scale models with Pati-Salam gauge symmetry, demonstrating how to suppress the effective potential and analyzing the universality of their one-loop potentials across a vast model space.

Contribution

It introduces a classification of heterotic super no-scale models with Pati-Salam symmetry and explores their effective potentials and universality properties.

Findings

Super no-scale models can suppress the effective potential exponentially.

The space of Pati-Salam models shows universal one-loop potential features.

Comparison confirms universality between Pati-Salam and SO(10) models.

Abstract

We construct and classify heterotic models where $\mathcal N=1$ supersymmetry is spontaneously broken \`a la Scherk-Schwarz. The theories contain chiral matter transforming under an observable Pati-Salam gauge symmetry and are classified according to a minimal set of phenomenological requirements, including the shape of their one-loop effective potential. The latter is essentially controlled by two parameters that are easily computable in terms of the defining string data. By imposing Bose-Fermi degeneracy at the massless level, known as the super no-scale condition, it is possible to suppress the value of the effective potential to exponentially small values, provided the compactification scale is sufficiently lower than the string scale. Furthermore, we compare the space of $\sim 10^{10}$ Pati-Salam models with their parent theories based on SO(10) gauge symmetry and confirm the universality structure of their effective one-loop potentials.