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…