Gravity Cutoff in Theories with Large Discrete Symmetries

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.

example and discussion added

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• Black hole complementarity and firewall in two dimensions
• Generalized Uncertainty Principle: Implications for Black Hole Complementarity
• Superluminality in DGP
• Towards a Swampland Global Symmetry Conjecture using Weak Gravity
• Approximate Symmetries and Gravity
• Generation of a bubble universe using a negative energy bath
• Dynamical formation and evolution of (2+1)-dimensional charged black holes
• Status report: black hole complementarity controversy
• The Weak Scale from Weak Gravity
• Probing Quantum Geometry at LHC
• Discrete Gauge Symmetries and the Weak Gravity Conjecture
• Superluminal Travel Made Possible (in two dimensions)
• Properties of Discrete Black Hole Hair
• Infinite statistics, symmetry breaking and combinatorial hierarchy
• CP violation and gravity as the weakest force