Compact hyperbolic extra dimensions: a M-theory solution and its implications for the LHC


We study M-theory solutions involving compact hyperbolic spaces. The combination of a gap `a la Randall-Sundrum and the topology of an internal Riemann surface allows a geometrical solution to the hierarchy problem that does not require light Kaluza–Klein modes. We comment on the consequences of such a compactification for LHC physics.