2025/05/28 by Timofei Snegirev, Snegirev, Timofei
Physics and Astronomy · #Nonlinear Waves and Solitons #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2505.22043
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.