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arxiv: hep-th/0004083 · v3 · submitted 2000-04-11 · ✦ hep-th · math-ph· math.MP· physics.flu-dyn

Supersymmetric Fluid Mechanics

classification ✦ hep-th math-phmath.MPphysics.flu-dyn
keywords grassmannfluidmodelsupersymmetricvariablesvelocityvorticityacquires
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When anticommuting Grassmann variables are introduced into a fluid dynamical model with irrotational velocity and no vorticity, the velocity acquires a nonvanishing curl and the resultant vorticity is described by Gaussian potentials formed from the Grassmann variables. Upon adding a further specific interaction with the Grassmann degrees of freedom, the model becomes supersymmetric.

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  1. Perfect fluid equations with nonrelativistic conformal supersymmetries

    hep-th 2026-05 unverdicted novelty 5.0

    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.