Fetching the paper…

Reading the bibliography…

2016

Coset spaces and Einstein manifolds with l-conformal Galilei symmetry

Chernyavsky, Dmitry

Original
PDF
Post on X

Understand

The group theoretic construction is applied to construct a novel dynamical realization of the $l$--conformal Galilei group in terms of geodesic equations on the coset space.

A peculiar feature of the geodesics is that all their integrals of motion, including the accelerations, are functionally independent.
The analysis in the recent work [Phys.
Lett.

Coset spaces and Einstein manifolds with l-conformal Galilei symmetry · Around

Built on

M. Henkel, Local Scale Invariance and Strongly Anisotropic Equilibrium Critical Systems
1943
Earlier work this paper cites.
P. Havas, J. Plebanski, Conformal extensions of the Galilei group and their relation to the Schrödinger group
1978
Earlier work this paper cites.
J. Negro, M.A. del Olmo, A. Rodriguez-Marco, Nonrelativistic conformal groups
1997
Earlier work this paper cites.
M. Henkel, Phenomenology of local scale invariance: From conformal invariance to dynamical scaling
2002
Earlier work this paper cites.
N. Alonso-Alberca, E. Lozano-Tellechea and T. Ortin, Geometric construction of Killing spinors and supersymmetry algebras in homogeneous space–times
2002
Earlier work this paper cites.
J. Lukierski, P.C. Stichel, W.J. Zakrzewski, Exotic Galilean conformal symmetry and its dynamical realisations
2006
Earlier work this paper cites.
J. Lukierski, P.C. Stichel, W.J. Zakrzewski, Acceleration–extended Galilean symmetries with central charges and their dynamical realizations
2007
Earlier work this paper cites.
A. Galajinsky, Remark on quantum mechanics with conformal Galilean symmetry
Original
2008
Earlier work this paper cites.
C. Duval, M. Hassaine, P.A. Horváthy, The Geometry of Schrödinger symmetry in gravity background/non-relativistic CFT
Original
2009
Earlier work this paper cites.
A. Galajinsky, I. Masterov Remark on quantum mechanics with N=2 Schrodinger supersymmetry
Original
2009
Earlier work this paper cites.
C. Duval, P.A. Horváthy, Non-relativistic conformal symmetries and Newton-Cartan structures
Original
2009
Earlier work this paper cites.
J.A. de Azcarraga, J. Lukierski, Galilean superconformal symmetries
Original
2009
Earlier work this paper cites.
A. Galajinsky, N=2 superconformal Newton-Hooke algebra and many-body mechanics
Original
2009
Earlier work this paper cites.

Similar

A. Galajinsky, O. Lechtenfeld, Harmonic N = 2 N=2 Mechanics
Original
2009
Cited alongside, same era.
S. Schafer-Nameki, M. Yamazaki and K. Yoshida, Coset construction for duals of non–relativistic CFTs
Original
2009
Cited alongside, same era.
M. Sakaguchi, Super Galilean conformal algebra in AdS/CFT
Original
2010
Cited alongside, same era.
P.A. Horváthy, P.-M. Zhang, Non–relativistic conformal symmetries in fluid mechanics
Original
2010
Cited alongside, same era.
A. Galajinsky, Conformal mechanics in Newton–Hooke spacetime
Original
2010

Then

A. Galajinsky, I. Masterov, Dynamical realizations of l–conformal Newton–Hooke group
Original
2013
Later among the works it cites.
K. Andrzejewski, J. Gonera, Dynamical interpretation of nonrelativistic conformal groups
2013
Later among the works it cites.
K. Andrzejewski, J. Gonera, P. Kosinski, P. Maslanka, On dynamical realizations of l–conformal Galilei groups
Original
2013
Later among the works it cites.
K. Andrzejewski, A. Galajinsky, J. Gonera, I. Masterov, Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator
Original
2014
Later among the works it cites.
A. Galajinsky, I. Masterov, Dynamical realizations of non-relativistic conformal groups
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

S. Fedoruk, E. Ivanov, J. Lukierski, Galilean conformal mechanics from nonlinear realizations

2011

Cited alongside, same era.

C. Duval, P. Horváthy, Conformal Galilei groups, Veronese curves, and Newton–Hooke spacetimes

2011

Cited alongside, same era.

A. Galajinsky, I. Masterov, Remarks on l-conformal extension of the Newton–Hooke algebra

2011

Cited alongside, same era.

A. Bagchi, A. Kundu, Metrics with Galilean conformal isometry

2011

Cited alongside, same era.

J. Gomis, K. Kamimura, Schrodinger equations for higher order non–relativistic particles and N–Galilean conformal symmetry

2012

Cited alongside, same era.

I. Masterov, N = 2 N=2 supersymmetric extension of l–conformal Galilei algebra

2012

Cited alongside, same era.

K. Andrzejewski, J. Gonera, P. Maslanka, Nonrelativistic conformal groups and their dynamical realizations

2012

Cited alongside, same era.

I. Masterov, Dynamical realizations of N = 1 N=1 l-conformal Galilei superalgebra

2014

Later among the works it cites.

K. Andrzejewski, Conformal Newton-Hooke algebras, Niederer’s transformation and Pais-Uhlenbeck oscillator

2014

Later among the works it cites.

I. Masterov, Higher–derivative mechanics with N = 2 N=2 l-conformal Galilei supersymmetry

2015

Later among the works it cites.

I. Masterov, New realizations of N = 2 N=2 l-conformal Newton-Hooke superalgebra

2015

Later among the works it cites.

A. Galajinsky, I. Masterov, On dynamical realizations of l–conformal Galilei and Newton-Hooke algebras

Original

2015

Later among the works it cites.

K. Andrzejewski, Generalized Niederer’s transformation for quantum Pais-Uhlenbeck oscillator

2015

Later among the works it cites.

D. Chernyavsky, A. Galajinsky, Ricci–flat spacetimes with l–conformal Galilei symmetry

2016

Closest in time.