Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-10-16
Nucl.Phys.Proc.Suppl. 68 (1998) 367-373
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 7 Pages
Scientific paper
10.1016/S0920-5632(98)00171-6
I briefly discuss three phenomena arising in recent work where the realization of symmetries in quantum mechanics is unusual. The first of these is, I believe, the very simplest realization of non-trivial confinement by a mechanism of charge-flux frustration. It arises in models having several coupled abelian Chern-Simons gauge symmetries, which closely resemble effective theories used for the quantum Hall effect. The second is symmetry obstruction by non-abelian flux, which has implications for 2+1 dimensional supergravity. Third is the possibility of new varieties of quantum statistics: non-abelian and projective.
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