Gravity Cutoff in Theories with Large Discrete Symmetries

TL;DR

This paper establishes an upper limit on the gravitational cutoff in theories with large discrete symmetries, derived from black hole physics, suggesting new models for addressing the hierarchy problem.

Contribution

It introduces a novel bound on gravitational cutoff in theories with large discrete symmetries, expanding potential solutions to the hierarchy problem.

Findings

Bound similar to theories with many particle species

Large discrete symmetries can lower the gravitational cutoff

Potential for new hierarchy problem solutions

Abstract

We set an upper bound on the gravitational cutoff in theories with exact quantum numbers of large N periodicity, such as Z_N discrete symmetries. The bound stems from black hole physics. It is similar to the bound appearing in theories with N particle species, though a priori, a large discrete symmetry does not imply a large number of species. Thus, there emerges a potentially wide class of new theories, that address the hierarchy problem by lowering the gravitational cutoff due to existence of large Z_{10^32}-type symmetries.