Pseudoclassical model for topologically massive gauge fields
Author(s) -
Khazret S. Nirov,
Mikhail S. Plyushchay
Publication year - 1998
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/1998/02/015
Subject(s) - invariant (physics) , homogeneous space , supersymmetry , quantization (signal processing) , physics , quantum , mathematical physics , poincaré conjecture , theoretical physics , poincaré group , gauge theory , symmetry (geometry) , pure mathematics , mathematics , quantum mechanics , group (periodic table) , geometry , algorithm
A pseudoclassical model for P,T-invariant system of topologically massiveU(1) gauge fields is analyzed. The model demonstrates a nontrivial relationshipbetween continuous and discrete symmetries and reveals a phenomenon of``classical quantization''. It allows one to identify SU(1,1) symmetry andS(2,1) supersymmetry as hidden symmetries of the corresponding quantum system.We show this P,T-invariant quantum system realizes an irreduciblerepresentation of a non-standard super-extension of the (2+1)-dimensionalPoincare group.Comment: 10 pages, LaTeX, no figures; titles for sections and keywords added, refs update
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