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Timofei Snegirev

Publications and source records attributed to Timofei Snegirev.

7 recordsLinked to original sources
arXiv2026

Perfect fluid equations with nonrelativistic conformal supersymmetries

Our recent result on the construction of perfect fluid equations with N=1,2 Schr\"odinger supersymmetry [Mod. Phys. Lett. A 41 (2026) 2550214] is extended to accommodate nonrelativistic conformal supersymmetries of other types. Two cases are considered in detail, which include the N=2 conformal Newton-Hooke superalgebra and N=1 l-conformal Galilei superalgebra with arbitrary half-integer parameter l. Supersymmetric fluid models are built within the Hamiltonian framework by introducing real (for N=1) or complex (for N=2) anticommuting field variables as superpartners for the density and velocity. For both the cases the full set of conserved charges associated with the superalgebras is constructed and the Lagrangian description is given. Subtleties with the construction of perfect fluid equations with N=2 l-conformal Galilei supersymmetry are discussed as well.

hep-th↗
arXiv2025

Perfect fluid equations with N=1,2 Schrodinger supersymmetry

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.

hep-th↗
arXiv2025

Perfect fluid dynamics with conformal Newton-Hooke symmetries

Perfect fluid equations are formulated which are invariant under the $\ell$-conformal Newton-Hooke group for an arbitrary integer or half-integer value of the parameter $\ell$. For $\ell=\frac32$ the corresponding conserved charges are constructed and the Hamiltonian formulation is built.

hep-th↗
arXiv2024

Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry

Lagrangian formulation for perfect fluid equations which hold invariant under the $\ell$-conformal Galilei group with half-integer $\ell$ is proposed. It is based on a Clebsch-type parametrization and reproduces Lagrangian description of the Euler fluid equations for $\ell=\frac12$. The transition from the Lagrangian formulation to the Hamiltonian one is analyzed in detail.

hep-th↗
arXiv2023

Perfect fluid coupled to a solenoidal field which enjoys the l-conformal Galilei symmetry

A non-relativistic (Galilei-invariant) model of a perfect fluid coupled to a solenoidal field in arbitrary spatial dimension is considered. It contains an arbitrary parameter $\kappa$ and in the particular case of $\kappa=1$ it describes a perfect fluid coupled to a magnetic field. For a special value of $\kappa$, the theory admits the Schrodinger symmetry group which is consistent with the magnetic case in two spatial dimensions only. Generalization to the case of the l-conformal Galilei group for an arbitrary half-integer parameter l is constructed.

hep-th↗
arXiv2023

Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry

The Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry is proposed. For an arbitrary half-integer value of the parameter l, the Hamilton and non-canonical Poisson brackets are found, in terms of which the original higher derivative equations of motion take the conventional Hamiltonian form. The full set of conserved charges is found and their algebra is established.

hep-th↗