Bounds on Discrete Gauge Symmetries in Supergravity

TL;DR

This paper establishes bounds on the size of discrete gauge symmetries in supergravity theories, especially those with 8 or more supercharges, highlighting cases with sharp upper limits from string theory.

Contribution

It provides new bounds on discrete gauge symmetries in supergravity, connecting these bounds to string theory constructions with high supersymmetry.

Findings

Bounds on the order of discrete gauge symmetries in supergravity.

Identification of cases with sharp upper bounds.

Connection to specific string theory models.

Abstract

We place bounds on the order of enhanced discrete gauge symmetries that act on massless fields and thus arise at subloci of the moduli space in supergravity theories. We focus on supersymmetric theories with 8 or more supercharges which in some cases lead to sharp upper bounds realized by specific string constructions.