Towards a Non-Supersymmetric String Phenomenology

TL;DR

This paper explores the construction and properties of non-supersymmetric, tachyon-free string models that resemble the Standard Model, addressing stability issues and opening new avenues for phenomenological studies.

Contribution

It demonstrates the feasibility of stable, non-supersymmetric string models with Standard Model-like features and discusses their theoretical and phenomenological properties.

Findings

Constructed tachyon-free, non-supersymmetric string models resembling the Standard Model.

Analyzed the finiteness, mass spectra, and cosmological constants of these models.

Discussed their construction techniques, energy scales, and particle properties.

Abstract

Over the past three decades, considerable effort has been devoted to studying the rich and diverse phenomenologies of heterotic strings exhibiting spacetime supersymmetry. Unfortunately, during this same period, there has been relatively little work studying the phenomenologies associated with their non-supersymmetric counterparts. The primary reason for this relative lack of attention is the fact that strings without spacetime supersymmetry are generally unstable, exhibiting large one-loop dilaton tadpoles. In this paper, we demonstrate that this hurdle can be overcome in a class of tachyon-free four-dimensional string models realized through coordinate-dependent compactifications. Moreover, as we shall see, it is possible to construct models in this class whose low-lying states resemble the Standard Model (or even potential unified extensions thereof) --- all without any light superpartners, and indeed without supersymmetry at any energy scale. The existence of such models thus opens the door to general studies of non-supersymmetric string phenomenology, and in this paper we proceed to discuss a variety of theoretical and phenomenological issues associated with such non-supersymmetric strings. On the theoretical side, we discuss the finiteness properties of such strings, the general characteristics of their mass spectra, the magnitude and behavior of their one-loop cosmological constants, and their interpolation properties. By contrast, on the phenomenological side, the properties we discuss are more model-specific and include their construction techniques, their natural energy scales, their particle and charge assignments, and the magnitudes of their associated Yukawa couplings and scalar masses.