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Kaluza-Klein theories

Bailin, D, Love, A·1987·Reports on Progress in Physics
DOI 10.1088/0034-4885/50/9/001
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Abstract

Kaluza-Klein theory is developed starting from the simplest example in which a single extra spatial dimension is compactified to a circle, and a single Abelian gauge field emerges in four dimensions from the higher-dimensional metric. This is generalised to greater dimensionality whence non-Abelian gauge groups may be obtained, and possible mechanisms for achieving the compactification of the extra spatial dimensions are discussed. The spectrum of particles appearing in four dimensions is discussed with particular emphasis on the spectrum of light fermions, and the constraints arising from cancellation of anomalies when explicit higher-dimensional gauge fields are present are studied. Cosmological aspects of these theories are described, including possible mechanisms for cosmological inflation, and relic heavy particles. Finally, an introductory account of Kaluza-Klein supergravity is given leading towards superstring theory.

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  • Since not much is known about the set of all Einstein spaces admitting a symmetric hypersurface, and the set is probably quite small, the restriction to products of spheres may turn out to be a viable approximation of the real situation.

    “Since not much is known about the set of all Einstein spaces admitting a symmetric hypersurface (cf.[9]), and in view of the belief that this set is probably quite small [42], the restriction to products of spheres may turn to be a viable approximation of the real situation.”

    From Dimensionality, topology, energy, the cosmological constant and signature change (1996) · cites this paper as [42]

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Metadata

Authors
Bailin, D., & Love, A.
Venue
Reports on Progress in Physics
Publisher
IOP Publishing
Published
1987-09-01
Volume
50
Issue
9
Pages
1087-1170
ISSN
  • 0034-4885
  • 1361-6633
DOI
10.1088/0034-4885/50/9/001
Cited by
231
References
7

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