Work

Perfect fluid equations with N=1,2 Schrödinger supersymmetry

Year: 2025

Type: article

Abstract: Superconformal extensions of the perfect fluid equations, which realize [Formula: see text] Schrödinger superalgebra, are constructed within the Hamiltonian formalism. They are built by introducing real (for [Formula: see text]) or complex (for [Formula: see text]) anticommuting field variables as superpartners for the density and velocity of a fluid. The full set of conserved charges associated with the [Formula: see text] Schrödinger 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.

Source: Modern Physics Letters A

DOI: 10.1142/s0217732325502141

Author: Timofei Snegirev

Institution: Tomsk State University of Control Systems and Radio-Electronics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G4970867072