Gravity cutoff in theories with large discrete symmetries.
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 the existence of large Z(10(32))-type symmetries.
Dvali
Gia
G
Theory Group, Physics Department, CERN, CH-1211 Geneva 23, Switzerland.
Redi
Michele
M
Sibiryakov
Sergey
S
Vainshtein
Arkady
A