Perfect fluid equations with N=1,2 Schrodinger supersymmetry
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914175412862976 |
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| author | Snegirev, Timofei |
| author_facet | Snegirev, Timofei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22043 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perfect fluid equations with N=1,2 Schrodinger supersymmetry Snegirev, Timofei High Energy Physics - Theory 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. |
| title | Perfect fluid equations with N=1,2 Schrodinger supersymmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.22043 |