Journal ArticleDOI
Linking Numbers, Spin, and Statistics of Solitons
Frank Wilczek,A. Zee +1 more
TLDR
In this paper, the spin and statistics of solitons in the (2 + 1)- and (3 + 1) nonlinear sigma models are considered. And for the 3 + 1 dimensions, the usual spin-statistics relation is demonstrated, using the linking-number interpretation of the Hopf invariant and the use of suspension.Abstract:
The spin and statistics of solitons in the (2 + 1)- and (3 + 1)-dimensional nonlinear sigma 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.read more
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Quantum field theory and the Jones polynomial
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TL;DR: In this article, the authors present a list of the top five most important categories of defense: 1. GRAVITY 7. MICROSCOPIC PHYSICS 13.2.
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The Relationship Between High-Temperature Superconductivity and the Fractional Quantum Hall Effect
TL;DR: The case is made that the spin-liquid state of a Mott insulator, hypothesized to exist by Anderson and identified by him as the correct context for discussing high-temperature superconductors, occurs in these materials and exhibits the principles of fractional quantization identified in the fractional quantum Hall effect.