Field-dependent symmetries of a non-relativistic fluid model

Details Field-dependent symmetries of a non-relativistic fluid model Field-dependent symmetries of a non-relativistic fluid model

1999-04-26

arxiv.org/abs/math-ph/9904022v3

Annals Phys. 282 (2000) 218-246

Physics

Mathematical Physics

34 pages, LATEX, no figures. Revised version (Rearranged presentation and one more example added)

Scientific paper

10.1006/aphy.1999.6002

As found by Bordemann and Hoppe and by Jevicki, a certain non-relativistic model of an irrotational and isentropic fluid, related to membranes and to partons, admits a Poincar\'e symmetry. Bazeia and Jackiw associate this dynamical symmetry to a novel type of ``field dependent'' action on space-time. The ``Kaluza-Klein type'' framework of Duval et al. is used to explain the origin of these symmetries and to derive the associated conserved quantities. In the non-interacting case, the symmetry extends to the entire conformal group.

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