Compact Hyperbolic Extra Dimensions: Branes, Kaluza-Klein Modes, and Cosmology

Journal Article · Mon Jul 31 00:00:00 EDT 2000 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.85.928· OSTI ID:20217245

Kaloper, Nemanja ^[1]; March-Russell, John ^[2]; Starkman, Glenn D ^[3]; Trodden, Mark ^[3]

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1. Department of Physics, Stanford University, Stanford, California 94305 (United States)
2. Theory Division, CERN, CH-1211 Geneva 23, (Switzerland)
3. Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106-7079 (United States)

We reconsider theories with low gravitational (or string) scale M{sub *} where Newton's constant is generated via new large-volume spatial dimensions, while standard model states are localized to a 3-brane. Utilizing compact hyperbolic manifolds we show that the spectrum of Kaluza-Klein modes is radically altered. This allows the early Universe to evolve normally up to substantial temperatures, and completely negates the astrophysical constraints on M{sub *} . Furthermore, an exponential hierarchy between the usual Planck scale and the true fundamental scale of physics can emerge with only O(1) coefficients. The linear size of the internal space remains small. The proposal has striking testable signatures. (c) 2000 The American Physical Society.

• OSTI ID: 20217245
• Journal Information: Physical Review Letters, Vol. 85, Issue 5; Other Information: PBD: 31 Jul 2000; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KALUZA-KLEIN THEORY
GRAVITATION
COSMOLOGICAL MODELS
SPACE-TIME
MATHEMATICAL MANIFOLDS
THEORETICAL DATA
STRING MODELS