Some Three Generation (0,2) Calabi-Yau Models

TL;DR

This paper presents new three-generation Calabi-Yau models in string theory where the gauge connection's VEV differs from the spin connection, expanding the landscape of viable compactifications.

Contribution

It introduces specific examples of three-generation models using generalized Calabi-Yau compactifications with non-standard gauge and spin connection relations.

Findings

Examples of three-generation models with realistic gauge groups.

Validation of non-standard Calabi-Yau compactifications as classical solutions.

Potential implications for string phenomenology.

Abstract

It has recently been realized that a large class of Calabi-Yau models in which the VEV of the gauge connection is not set equal to the spin connection of the Calabi-Yau manifold are valid classical solutions of string theory. We provide some examples of three generation models based on such generalized Calabi-Yau compactifications, including models with observable gauge group $SU(3)\times SU(2)\times U(1)$.