R Jackiw et al 2004 J. Phys. A: Math. Gen. 37 R327 doi:10.1088/0305-4470/37/42/R01
R Jackiw1, V P Nair2, S-Y Pi3 and A P Polychronakos2
Show affiliationsWe review the canonical theory for perfect fluids in Euler's and Lagrange's formulations. The theory is related to a description of extended structures in higher dimensions. Internal symmetry and supersymmetry degrees of freedom are incorporated. Additional miscellaneous subjects that are covered include physical topics concerning quantization as well as mathematical issues of volume preserving diffeomorphisms and representations of Chern–Simons terms (= vortex or magnetic helicity).
47.10.-g General theory in fluid dynamics
81Q60 Supersymmetric quantum mechanics
76M60 Symmetry analysis, Lie group and algebra methods
81T70 Quantization in field theory; cohomological methods (See also 58D29)
Issue 42 (22 October 2004)
Received 9 July 2004
Published 6 October 2004
R Jackiw et al 2004 J. Phys. A: Math. Gen. 37 R327
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