## 21 Citations

### Remark on higher-derivative mechanics with l-conformal Galilei symmetry

- Physics
- 2016

Based on the results in [A. Galajinsky and I. Masterov, Nucl. Phys. B 866, 212 (2013)], we consider a way to construct a higher-derivative mechanical model which possesses the l-conformal Galilei…

### Minimal realization of ℓ-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation

- Mathematics, PhysicsJournal of High Energy Physics
- 2016

We present the minimal realization of the ℓ-conformal Galilei group in 2+1 dimensions on a single complex field. The simplest Lagrangians yield the complex PaisUhlenbeck oscillator equations. We…

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

- Physics, Mathematics
- 2023

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…

### Minimal realization of ℓ-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation

- Mathematics
- 2016

A bstractWe present the minimal realization of the ℓ-conformal Galilei group in 2+1 dimensions on a single complex field. The simplest Lagrangians yield the complex PaisUhlenbeck oscillator…

### Aspects of infinite dimensional ℓ-super Galilean conformal algebra

- Mathematics
- 2016

In this work, we construct an infinite dimensional l-super Galilean conformal algebra, which is a generalization of the l = 1 algebra found in the literature. We give a classification of central…

### Equations of fluid dynamics with the ℓ–conformal Galilei symmetry

- Physics, MathematicsNuclear Physics B
- 2022

### Taub-NUT as Bertrand spacetime with magnetic fields

- Mathematics
- 2016

Based on symmetries Taub-NUT shares with Bertrand spacetime, we cast it as the latter with magnetic fields. Its nature as a Bianchi-IX gravitational instanton and other related geometrical properties…

### Casimir operators of centrally extended l-conformal Galilei algebra

- Physics, MathematicsNuclear Physics B
- 2019

## 26 References

### Conformal Galilei groups, Veronese curves and Newton–Hooke spacetimes

- Mathematics, Physics
- 2011

Finite-dimensional nonrelativistic conformal Lie algebras spanned by polynomial vector fields of Galilei spacetime arise if the dynamical exponent is z = 2/N with N = 1, 2, …. Their underlying group…

### Galilean conformal mechanics from nonlinear realizations

- Physics, Mathematics
- 2011

We apply the nonlinear realizations method for constructing new Galilean conformal mechanics models. Our starting point is the Galilean conformal algebra which is a nonrelativistic contraction of its…

### Metrics with Galilean conformal isometry

- Mathematics, Physics
- 2011

The Galilean conformal algebra (GCA) arises in taking the nonrelativistic limit of the symmetries of a relativistic conformal field theory in any dimensions. It is known to be infinite dimensional in…

### Non-relativistic conformal symmetries and Newton–Cartan structures

- Mathematics, Physics
- 2009

This paper provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton–Cartan spacetime. The Lie algebras of non-relativistic conformal…

### Near horizon black holes in diverse dimensions and integrable models

- Physics, Mathematics
- 2013

The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformal…

### Nonrelativistic conformal groups

- Mathematics, Physics
- 1997

In this work a systematic study of finite-dimensional nonrelativistic conformal groups is carried out under two complementary points of view. First, the conformal Killing equation is solved to obtain…