# Dynamical realizations of the Lifshitz group

@article{Galajinsky2022DynamicalRO, title={Dynamical realizations of the Lifshitz group}, author={Anton V. Galajinsky}, journal={Physical Review D}, year={2022} }

Dynamical realizations of the Lifshitz group are studied within the group–theoretic framework. A generalization of the 1 d conformal mechanics is constructed, which involves an arbitrary dynamical exponent z . A similar generalization of the Ermakov– Milne–Pinney equation is proposed. Invariant derivative and ﬁeld combinations are introduced, which enable one to construct a plethora of dynamical systems enjoying the Lifshitz symmetry. A metric of the Lorentzian signature in ( d + 2)–dimensional…

## 3 Citations

### The group-theoretic approach to perfect fluid equations with conformal symmetry

- Mathematics
- 2022

The method of nonlinear realizations is a convenient tool for building dynamical realizations of a Lie group, which relies solely upon structure relations of the corresponding Lie algebra. The goal…

### Scalar

- MathematicsDefinitions
- 2020

. We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits (“particles”) of Lie groups generated by spatial rotations, temporal and spatial translations and an additional…

### Lifshitz symmetry: Lie algebras, spacetimes and particles

- Mathematics
- 2022

. We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits (“particles”) of Lie groups generated by spatial rotations, temporal and spatial translations and an additional…

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