To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models

TL;DR

This paper derives conditions for the existence of discrete gauge symmetries in global intersecting D-brane models on toroidal orbifolds, revealing new symmetries that influence the superpotential and model building.

Contribution

It provides a complete set of conditions for discrete Zn gauge symmetries on specific orbifolds with tilted tori, including new symmetries not previously identified.

Findings

Derived conditions for discrete Zn gauge symmetries on orbifolds

Presented examples of global particle physics models with these symmetries

Identified new 'stringy' symmetries with no field theory counterparts

Abstract

Discrete gauge symmetries in global intersecting D-brane models constrain the exact form of the perturbative as well as non-perturbative superpotential. We derive the complete set of conditions on the existence of discrete Zn gauge symmetries on toroidal orbifolds, T6/Z(N) and T6/Z(2)xZ(2M}, with fractional or rigid D6-branes on tilted tori, for which global models of particle physics are known. Several examples of global left-right symmetric and Pati-Salam models are presented. Some discrete `stringy' Zn symmetries are trivial from the field theory point of view, while others have not been identified before.