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Publications Influence

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

- A. Galajinsky
- Physics, Mathematics
- 7 February 2017

A bstractDynamical realizations of the most general N = 4 superconformal group in one dimension D(2, 1; α) are reconsidered from the perspective of the R-symmetry subgroup SU(2). It is shown that any… Expand

11 3- PDF

Particle dynamics near extreme Kerr throat and supersymmetry

- A. Galajinsky
- Physics
- 13 September 2010

The extreme Kerr throat solution is believed to be non-supersymmetric. However, its isometry group SO(2, 1) × U(1) matches precisely the bosonic subgroup of $ \mathcal{N} = 2 $ superconformal group… Expand

47 2- PDF

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

- A. Galajinsky
- Physics
- 15 December 2014

A bstractThe issue of constructing an N = 4 superconformal mechanics in one dimension is reconsidered with a special emphasis put on the realizations of the su(2)-subalgebra in the full su(1,… Expand

18 2- PDF

Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator

- K. Andrzejewski, A. Galajinsky, J. Gonera, I. Masterov
- Physics, Mathematics
- 6 February 2014

K.A. and J.G. are grateful to Piotr Kosinski for helpful and illuminating discussions. We thank Peter Horvathy and Andrei Smilga for useful correspondence. This work was sup-ported by the NCN grant… Expand

43 1- PDF

Dynamical realizations of l-conformal Newton–Hooke group

- A. Galajinsky, I. Masterov
- Physics, Mathematics
- 14 March 2013

Abstract The method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403 ] are used to construct a dynamical… Expand

40 1- PDF

Remark on integrable deformations of the Euler top

- A. Galajinsky
- Mathematics, Physics
- 5 November 2012

Abstract The Euler top describes a free rotation of a rigid body about its center of mass and provides an important example of a completely integrable system. A salient feature of its first integrals… Expand

10 1- PDF

4 superconformal Calogero models

- A. Galajinsky, O. Lechtenfeld, K. Polovnikov
- Physics
- 8 August 2007

We continue the research initiated in hep-th/0607215 and apply our method of conformal automorphisms to generate various = 4 superconformal quantum many-body systems on the real line from a set of… Expand

54 1- PDF

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

- A. Galajinsky, I. Masterov
- Physics, Mathematics
- 27 April 2011

Abstract The l -conformal extension of the Newton–Hooke algebra proposed in [J. Negro, M.A. del Olmo, A. Rodriguez-Marco, J. Math. Phys. 38 (1997) 3810] is formulated in the basis in which the flat… Expand

55 1- PDF

AdS2/CFT1, canonical transformations and superconformal mechanics

- S. Bellucci, A. Galajinsky, E. Ivanov, S. Krivonos
- Physics
- 17 December 2002

Abstract We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS2×S2 horizon of an extreme Reissner–Nordstrom black hole.… Expand

63 1- PDF

Near horizon black holes in diverse dimensions and integrable models

- A. Galajinsky
- Physics, Mathematics
- 23 September 2012

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… Expand

20 1- PDF

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