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

TL;DR

This paper explores M-theory solutions with compact hyperbolic spaces that address the hierarchy problem without light Kaluza-Klein modes, and discusses potential implications for LHC physics.

Contribution

It introduces a novel M-theory compactification involving hyperbolic spaces and a Randall-Sundrum-like gap, providing a new approach to the hierarchy problem.

Findings

A geometrical solution to the hierarchy problem without light Kaluza-Klein modes.

Implications for LHC physics based on the compactification model.

Abstract

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.