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

2010/06/30 by Domenico Orlando, Seong Chan Park · 24 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Compactification (mathematics) #Cosmology and Gravitation Theories #Dimension (graph theory) #Extra dimensions #Hierarchy #Hierarchy problem #Kaluza–Klein theory #Large Hadron Collider #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Riemann surface #Theoretical physics #Topology (electrical circuits) #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep08(2010)006

published in Journal of High Energy Physics 2010(8) (Springer Nature) · 18 pages, 2 figures, JHEP accepted version

arxiv created 2010/07/24 · openalex publication_date 2010/08/01 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study M -theory solutions involving compact hyperbolic spaces. The combination of a gap à 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.

Citations

• TASI Lectures on Extra Dimensions and Branes
• A Model for High Energy Scattering in Quantum Gravity
• Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• Supergravity in theory in 11 dimensions
• A bulk inflaton from large-volume extra dimensions

Cited by

• Brane stabilization and regionality of extra dimensions