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arxiv: 1410.5335 · v3 · pith:H7DXICRUnew · submitted 2014-10-20 · ✦ hep-th · math-ph· math.MP

Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry

classification ✦ hep-th math-phmath.MP
keywords galileihigher-derivativel-conformalanalysisapplyingappropriateconstructcoordinate
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The analysis previously developed in [J. Math. Phys. 55 (2014) 102901] is used to construct systems which hold invariant under N=2 l-conformal Galilei superalgebra. The models describe two different supersymmetric extensions of a free higher-derivative particle. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.

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    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.