Topological solitons in Kaluza-Klein theories

Details Topological solitons in Kaluza-Klein theories Topological solitons in Kaluza-Klein theories

Mar 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.1638c&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 6, 15 March 1986, pp.1638-1642

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Field Theories In Dimensions Other Than Four

Scientific paper

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.

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