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Phys. Rev. D 33, 1638–1642 (1986)

Topological solitons in Kaluza-Klein theories

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Steven Carlip
Department of Physics, The University of Texas at Austin, Austin, Texas 78712

Received 8 July 1985; published in the issue dated 15 March 1986

The space of internal metrics of a Kaluza-Klein theory can inherit a complicated topology from the group of diffeomorphisms of the internal manifold. It is shown that this structure frequently gives rise to topological solitons, field configurations which cannot evolve into the vacuum in the distant future. A simple model with internal space S2×S1 is investigated in detail. It is found that the solitons in this model, like those in the Skyrme model, can be quantized as fermions. Kaluza-Klein theories may thus admit half-integral spin without elementary spinors.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.33.1638
DOI:
10.1103/PhysRevD.33.1638
PACS:
04.50.+h, 11.10.Kk