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

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.

v2: sections 2.1.1+2.1.2, footnotes 10+11+12, refs added, minor additions+corrections to text, conclusions unchanged; v1: 1+47 pages

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