Gravity Cutoff in Theories with Large Discrete Symmetries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1103/PhysRevLett.101.151603

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.

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