Linking numbers, spin, and statistics of solitons

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656 Scopus citations


The spin and statistics of solitons in the (2+1)- and (3+1)-dimensional nonlinear models is considered. For the (2+1)-dimensional case, there is the possibility of fractional spin and exotic statistics; for 3+1 dimensions the usual spin-statistics relation is demonstrated. The linking-number interpretation of the Hopf invariant and the use of suspension considerably simplify the analysis.

Original languageEnglish (US)
Pages (from-to)2250-2252
Number of pages3
JournalPhysical Review Letters
Issue number25
StatePublished - 1983
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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