Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-01-31
Nucl.Phys. B580 (2000) 605-646
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX; 49 pages; v2: minor changes and additions to text and refs
Scientific paper
10.1016/S0550-3213(00)00257-1
Conserved and commuting charges are investigated in both bosonic and supersymmetric classical chiral models, with and without Wess-Zumino terms. In the bosonic theories, there are conserved currents based on symmetric invariant tensors of the underlying algebra, and the construction of infinitely many commuting charges, with spins equal to the exponents of the algebra modulo its Coxeter number, can be carried out irrespective of the coefficient of the Wess-Zumino term. In the supersymmetric models, a different pattern of conserved quantities emerges, based on antisymmetric invariant tensors. The current algebra is much more complicated than in the bosonic case, and it is analysed in some detail. Two families of commuting charges can be constructed, each with finitely many members whose spins are exactly the exponents of the algebra (with no repetition modulo the Coxeter number). The conserved quantities in the bosonic and supersymmetric theories are only indirectly related, except for the special case of the WZW model and its supersymmetric extension.
Evans Jonathan M.
Hassan Mahadi Md.
MacKay Niall J.
Mountain A. J.
No associations
LandOfFree
Conserved charges and supersymmetry in principal chiral and WZW models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conserved charges and supersymmetry in principal chiral and WZW models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conserved charges and supersymmetry in principal chiral and WZW models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-629829