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arXiv · 2505.22043

Perfect fluid equations with N=1,2 Schrodinger supersymmetry

Timofei Snegirev
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Abstract

Superconformal extensions of the perfect fluid equations, which realize $N=1,2$ Schrodinger superalgebra, are constructed within the Hamiltonian formalism. They are built by introducing real (for $N=1$) or complex (for $N=2$) anticommuting field variables as superpartners for the density and velocity of a fluid. The full set of conserved charges associated with the $N=1,2$ Schrodinger superalgebra is constructed. Within the Lagrangian formalism, when the Clebsch decomposition for the velocity vector field is used, the anticommuting variables can be interpreted as potentials parameterizing fluid's vorticity.

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Timofei Snegirev. 2025-05-28. Perfect fluid equations with N=1,2 Schrodinger supersymmetry. https://doi.org/10.1142/s0217732325502141

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