Local discrete symmetries from superstring derived models

Abstract

Discrete and global symmetries play an essential role in many extensions of the Standard Model, for example, to preserve the proton lifetime, to prevent flavor changing neutral currents, etc. An important question is how can such symmetries survive in a theory of quantum gravity, like superstring theory. In a specific string model I illustrate how local discrete symmetries may arise in string models and play an important role in preventing fast proton decay and flavor changing neutral currents. The local discrete symmetry arises due to the breaking of the non--Abelian gauge symmetries by Wilson lines in the superstring models and forbids, for example dimension five operators which mediate rapid proton decay, to all orders of nonrenormalizable terms. In the context of models of unification of the gauge and gravitational interactions, it is precisely this type of local discrete symmetries that must be found in order to insure that a given model is not in conflict with experimental observations.

15 pages. Standard Latex. Final version to be published in Physics Letters B. References updated

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• Classification of Standard-like Heterotic-String Vacua
• The 750 GeV diphoton LHC excess and Extra Z's in Heterotic-String Derived Models
• A Novel String Derived Z' With Stable Proton, Light-Neutrinos and R-parity violation
• Proton Stability and Superstring Z'
• A Light Z' Heterotic-String Derived Model
• Light Z' in Heterotic String Standard-like Models
• Twenty-five Questions for String Theorists
• Proton Stability, Gauge Coupling Unification and a Light $Z^{\prime }$ in Heterotic-string Models
• Advances in Old-Fashioned Heterotic String Model Building
• Large Scale Air Shower Simulations and the Search for New Physics at AUGER
• Gauge-flavon unification
• $Z^{\prime }$s and sterile neutrinos from heterotic string models: exploring $Z^{\prime }$ mass exclusion limits