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Research Output 1996 2019

  • 1052 Citations
  • 20 h-Index
  • 78 Article
  • 1 Conference article
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Article
2019
1 Citation (Scopus)

Casimir operators of centrally extended l-conformal Galilei algebra

Galajinsky, A. & Masterov, I., 1 Jun 2019, In : Nuclear Physics B. 943, 114618.

Research output: Contribution to journalArticle

Open Access
algebra
operators
2 Citations (Scopus)

Eisenhart lift of 2-dimensional mechanics

Fordy, A. P. & Galajinsky, A., 1 Apr 2019, In : European Physical Journal C. 79, 4, 301.

Research output: Contribution to journalArticle

Open Access
Mechanics
symmetry
Degrees of freedom (mechanics)
Equations of motion
Tensors

N = 2 supersymmetric extensions of relativistic Toda lattice

Galajinsky, A., 1 Jun 2019, In : Journal of High Energy Physics. 2019, 6, 61.

Research output: Contribution to journalArticle

Open Access
formalism
Open Access
invariance
signatures
formulations

Spinning extensions of D(2, 1; α) superconformal mechanics

Galajinsky, A. & Lechtenfeld, O., 1 Mar 2019, In : Journal of High Energy Physics. 2019, 3, 69.

Research output: Contribution to journalArticle

Open Access
metal spinning
monopoles
dynamical systems
sectors
generators
2018
1 Citation (Scopus)

A variant of Schwarzian mechanics

Galajinsky, A., 1 Nov 2018, In : Nuclear Physics B. 936, p. 661-667 7 p.

Research output: Contribution to journalArticle

dynamical systems
Einstein equations
embedding
equations of motion
formulations
10 Citations (Scopus)

Cosmological aspects of the Eisenhart–Duval lift

Cariglia, M., Galajinsky, A., Gibbons, G. W. & Horvathy, P. A., 1 Apr 2018, In : European Physical Journal C. 78, 4, 314.

Research output: Contribution to journalArticle

Tensors
Momentum
acceleration (physics)
derivation
kinetic energy

Dynamical Realization of D(2; 1; α) which Links α to Cosmological Constant

Galajinsky, A., 1 Sep 2018, In : Physics of Particles and Nuclei. 49, 5, p. 865-866 2 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Geometry of the isotropic oscillator driven by the conformal mode

Galajinsky, A., 1 Jan 2018, In : European Physical Journal C. 78, 1, 72.

Research output: Contribution to journalArticle

oscillators
Geometry
geometry
Equations of motion
equations of motion
1 Citation (Scopus)

Ruijsenaars-Schneider three-body models with N = 2 supersymmetry

Galajinsky, A., 1 Apr 2018, In : Journal of High Energy Physics. 2018, 4, 79.

Research output: Contribution to journalArticle

supersymmetry
hyperbolic systems
formalism
2017
6 Citations (Scopus)

Couplings in D(2, 1; α) superconformal mechanics from the SU(2) perspective

Galajinsky, A., 1 Mar 2017, In : Journal of High Energy Physics. 2017, 3, 54.

Research output: Contribution to journalArticle

symmetry
subgroups
horizon
3 Citations (Scopus)

Eisenhart lift for higher derivative systems

Galajinsky, A. & Masterov, I., 10 Feb 2017, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 765, p. 86-90 5 p.

Research output: Contribution to journalArticle

dynamical systems
oscillators
1 Citation (Scopus)

Eisenhart lift in pseudo–Euclidean space and higher rank killing tensors

Galajinsky, A., 1 Mar 2017, In : Physics of Particles and Nuclei Letters. 14, 2, p. 328-330 3 p.

Research output: Contribution to journalArticle

signatures
tensors

L-conformal Galilei symmetry in the general relativistic context

Chernyavsky, D. & Galajinsky, A., 4 Apr 2017, In : Journal of Physics: Conference Series. 804, 1, 012019.

Research output: Contribution to journalArticle

symmetry
2 Citations (Scopus)

N = 4 l-conformal Galilei superalgebra

Galajinsky, A. & Masterov, I., 1 Aug 2017, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 771, p. 401-407 7 p.

Research output: Contribution to journalArticle

algebra
generators
requirements
symmetry
1 Citation (Scopus)

N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets

Galajinsky, A. & Krivonos, S., 1 Sep 2017, In : Journal of High Energy Physics. 2017, 9, 131.

Research output: Contribution to journalArticle

generators
towers
algebra
analogs
decomposition
2016
5 Citations (Scopus)

On the near horizon rotating black hole geometries with NUT charges

Galajinsky, A. & Orekhov, K., 1 Sep 2016, In : European Physical Journal C. 76, 9, 477.

Research output: Contribution to journalArticle

Ordinary differential equations
horizon
Vacuum
Geometry
Einstein equations
13 Citations (Scopus)
dynamical systems
horizon
generators
signatures
symmetry
5 Citations (Scopus)

Superconformal SU(1, 1|n) mechanics

Galajinsky, A. & Lechtenfeld, O., 1 Sep 2016, In : Journal of High Energy Physics. 2016, 9, 114.

Research output: Contribution to journalArticle

integers
algebra
2015
10 Citations (Scopus)

N =4 superconformal mechanics from the su(2) perspective

Galajinsky, A., 2015, In : Journal of High Energy Physics. 2015, 2

Research output: Contribution to journalArticle

horizon
supergravity
fine structure
geometry
interactions
14 Citations (Scopus)

On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras

Galajinsky, A. & Masterov, I. V., 1 Jul 2015, In : Nuclear Physics B. 896, p. 244-254 11 p.

Research output: Contribution to journalArticle

dynamical systems
newton
integers
algebra
differential equations
8 Citations (Scopus)

Ricci-flat spacetimes admitting higher rank Killing tensors

Cariglia, M. & Galajinsky, A., 1 May 2015, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 744, p. 320-324 5 p.

Research output: Contribution to journalArticle

signatures
tensors
oxidation
4 Citations (Scopus)

Self-dual metrics with maximally superintegrable geodesic flows

Filyukov, S. & Galajinsky, A., 19 May 2015, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 91, 10, 104020.

Research output: Contribution to journalArticle

signatures
tensors
2014
37 Citations (Scopus)

Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator

Andrzejewski, K., Galajinsky, A., Gonera, J. & Masterov, I. V., 1 Jan 2014, In : Nuclear Physics B. 885, p. 150-162 13 p.

Research output: Contribution to journalArticle

newton
oscillators
symmetry
integers
oscillations
1 Citation (Scopus)

Dynamical realizations of non-relativistic conformal groups

Galajinsky, A. & Masterov, I. V., 1 Jan 2014, In : Physics of Particles and Nuclei Letters. 11, 7, p. 872-876 5 p.

Research output: Contribution to journalArticle

newton
algebra
differential equations
6 Citations (Scopus)

Remark on integrable deformations of the Euler top

Galajinsky, A., 15 Aug 2014, In : Journal of Mathematical Analysis and Applications. 416, 2, p. 995-997 3 p.

Research output: Contribution to journalArticle

Euler
Completely Integrable Systems
Reparametrization
First Integral
Barycentre
1 Citation (Scopus)

Spherical mechanics for a particle near the horizon of extremal black hole

Galajinsky, A., Nersessian, A. P. & Saghatelian, A., 1 Jan 2014, In : Physics of Particles and Nuclei Letters. 11, 7, p. 890-893 4 p.

Research output: Contribution to journalArticle

Mechanics
horizon
relativistic particles
lists
algebra
2013
37 Citations (Scopus)

Dynamical realization of l-conformal Galilei algebra and oscillators

Galajinsky, A. & Masterov, I. V., 11 Jan 2013, In : Nuclear Physics B. 866, 2, p. 212-227 16 p.

Research output: Contribution to journalArticle

algebra
oscillators
dynamical systems
equations of motion
trajectories
32 Citations (Scopus)

Dynamical realizations of l-conformal Newton-Hooke group

Galajinsky, A. & Masterov, I. V., 10 Jun 2013, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 723, 1-3, p. 190-195 6 p.

Research output: Contribution to journalArticle

dynamical systems
newton
oscillators
ellipses
formulations
15 Citations (Scopus)
horizon
symmetry
oscillators
geometry
configurations
6 Citations (Scopus)

On two-dimensional integrable models with a cubic or quartic integral of motion

Galajinsky, A. & Lechtenfeld, O., 2013, In : Journal of High Energy Physics. 2013, 9, 113.

Research output: Contribution to journalArticle

two dimensional models
symmetry
partial differential equations
wave equations
invariance
25 Citations (Scopus)
particle collisions
horizon
silk
center of mass
collisions
24 Citations (Scopus)

Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension

Galajinsky, A., Nersessian, A. P. & Saghatelian, A., 2013, In : Journal of High Energy Physics. 2013, 6, 002.

Research output: Contribution to journalArticle

horizon
2012
20 Citations (Scopus)

Higher rank Killing tensors and Calogero model

Galajinsky, A., 3 Apr 2012, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 85, 8, 085002.

Research output: Contribution to journalArticle

tensors
2011
18 Citations (Scopus)

Conformal mechanics inspired by extremal black holes in d = 4

Galajinsky, A. & Nersessian, A. P., 2011, In : Journal of High Energy Physics. 2011, 11, 135.

Research output: Contribution to journalArticle

relativistic particles
horizon
sectors
32 Citations (Scopus)

N=2 superparticle near horizon of extreme Kerr-Newman-AdS-dS black hole

Galajinsky, A. & Orekhov, K., 11 Sep 2011, In : Nuclear Physics B. 850, 2, p. 339-348 10 p.

Research output: Contribution to journalArticle

horizon
49 Citations (Scopus)

Remarks on l-conformal extension of the Newton-Hooke algebra

Galajinsky, A. & Masterov, I. V., 19 Aug 2011, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 702, 4, p. 265-267 3 p.

Research output: Contribution to journalArticle

newton
algebra
2010
38 Citations (Scopus)

Conformal mechanics in Newton-Hooke spacetime

Galajinsky, A., 21 Jun 2010, In : Nuclear Physics B. 832, 3, p. 586-604 19 p.

Research output: Contribution to journalArticle

newton
decoupling
quantum mechanics
algebra
formalism
35 Citations (Scopus)

Particle dynamics near extreme Kerr throat and supersymmetry

Galajinsky, A., 2010, In : Journal of High Energy Physics. 2010, 11, 126.

Research output: Contribution to journalArticle

throats
supersymmetry
subgroups
horizon
2009
14 Citations (Scopus)

Harmonic N=2 mechanics

Galajinsky, A. & Lechtenfeld, O., 10 Sep 2009, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 80, 6, 065012.

Research output: Contribution to journalArticle

harmonics
harmonic functions
permutations
quantum mechanics
invariance
19 Citations (Scopus)
newton
algebra
attraction
32 Citations (Scopus)

N=4 mechanics, WDVV equations and roots

Galajinsky, A., Lechtenfeld, O. & Polovnikov, K. V., 2009, In : Journal of High Energy Physics. 2009, 3, 113.

Research output: Contribution to journalArticle

permutations
partial differential equations
quantum mechanics
31 Citations (Scopus)

Remark on quantum mechanics with N = 2 Schrödinger supersymmetry

Galajinsky, A. & Masterov, I. V., 4 May 2009, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 675, 1, p. 116-122 7 p.

Research output: Contribution to journalArticle

supersymmetry
quantum mechanics
Hilbert space
simplification
traps
2008
35 Citations (Scopus)
Canonical Transformation
Mechanics
Equations of Motion
equations of motion
Background
26 Citations (Scopus)

Quartet unconstrained formulation for massive higher spin fields

Buchbinder, I. L. & Galajinsky, A. V., 1 Nov 2008, In : Journal of High Energy Physics. 2008, 11, 081.

Research output: Contribution to journalArticle

formulations
31 Citations (Scopus)
quantum mechanics
algebra
symmetry
2007
41 Citations (Scopus)

N = 4 superconformal Calogero models

Galajinsky, A., Polovnikov, K. V. & Lechtenfeld, O., 1 Nov 2007, In : Journal of High Energy Physics. 2007, 11, 008.

Research output: Contribution to journalArticle

automorphisms
particle motion
partial differential equations
lists
center of mass
62 Citations (Scopus)

Quartet unconstrained formulation for massless higher spin fields

Buchbinder, I. L., Galajinsky, A. V. & Krykhtin, V. A., 17 Sep 2007, In : Nuclear Physics B. 779, 3, p. 155-177 23 p.

Research output: Contribution to journalArticle

formulations
francium
fermions
2006
33 Citations (Scopus)

Calogero models and nonlocal conformal transformations

Galajinsky, A., Lechtenfeld, O. & Polovnikov, K. V., 14 Dec 2006, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 643, 3-4, p. 221-227 7 p.

Research output: Contribution to journalArticle

conformal mapping
Hilbert space
simplification
symmetry
2005
31 Citations (Scopus)

New insight into the Witten-Dijkgraff-Verlinde-Verlinde equation

Bellucci, S., Galajinsky, A. & Latini, E., 2005, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 71, 4, 044023.

Research output: Contribution to journalArticle

One Dimension
Mechanics
Model