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Field-dependent symmetries of a non-relativistic fluid model

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abstract

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.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Perfect fluid equations with nonrelativistic conformal supersymmetries hep-th · 2026-05-19 · unverdicted · none · ref 43 · internal anchor

    Constructs supersymmetric perfect fluid equations for N=2 conformal Newton-Hooke and N=1 l-conformal Galilei superalgebras using Hamiltonian methods with anticommuting superpartner fields for density and velocity.