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- W109101912 abstract "The general theory of superselection sectors and their statistics in three-dimensional local quantum theory is outlined. It is shown that abelian and nonabelian braid statistics can arise, provided that reflections at lines in two-dimensional space (parity) are not symmetries of the theory. Braid statistics is completely described by a family of braid- and fusion matrices satisfying polynomial equations. These braid- and fusion matrices have properties very similar to those of the corresponding matrices in two-dimensional conformal field theory and determine invariants for coloured links in S 3 . The role of quantum group theory in three-dimensional local quantum theory is elucidated. Excitations with braid statistics are believed to play an important role in fractional quantum Hall systems and two-dimensional high-Tc superconductors. Three-dimensional gauge theories with Chern-Simons term exhibiting such excitations are briefly described." @default.
- W109101912 created "2016-06-24" @default.
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- W109101912 date "1990-01-01" @default.
- W109101912 modified "2023-10-16" @default.
- W109101912 title "Braid Statistics in Three-Dimensional Local Quantum Theory" @default.
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- W109101912 doi "https://doi.org/10.1007/978-1-4615-3802-8_2" @default.
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