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TOPICAL REVIEW

Perfect fluid theory and its extensions

R Jackiw et al 2004 J. Phys. A: Math. Gen. 37 R327-R432   doi: 10.1088/0305-4470/37/42/R01  Help

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R Jackiw1, V P Nair2, S-Y Pi3 and A P Polychronakos2
1 Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
2 Department of Physics, CCNY-CUNY, New York, NY 10031, USA
3 Department of Physics, Boston University, Boston, MA 02215, USA
E-mail: jackiw@lns.mit.edu, vpn@sci.ccny.cuny.edu, soyoung@buphy.bu.edu and alexios@sci.ccny.cuny.edu

Abstract. We 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).

PACS numbers: 47.10.-g, 03.70.+k, 04.20.Fy, 11.10.11.15.−q, 11.25.−w, Ef, 11.30.Pb, 47.50.+d, 47.75.+f

Print publication: Issue 42 (22 October 2004)
Received 9 July 2004
Published 6 October 2004

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