97 citations · 1.6k across the 79 of their papers we have counts for
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Bianchi type-V spinning particle on 2-sphere
Anton Galajinsky
Integrable spinning extension of a free particle on 2-sphere is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi type-V algebra. Gener…
Comment on "Generalized near horizon extreme binary black hole geometry"
Anton Galajinsky
It is demonstrated that the near-horizon geometry of two extreme Kerr black holes of equal mass, which are held a finite distance apart by a massless strut, introduced recently in…
Schwarzian mechanics via nonlinear realizations
Anton Galajinsky
The method of nonlinear realizations is used to clarify some conceptual and technical issues related to the Schwarzian mechanics. It is shown that the Schwarzian derivative arises…
N=2 supersymmetric extensions of relativistic Toda lattice
Anton Galajinsky
N=2 supersymmetric extensions of both the periodic and non-periodic relativistic Toda lattice are built within the framework of the Hamiltonian formalism. A geodesic description in…
Casimir operators of centrally extended l-conformal Galilei algebra
Anton Galajinsky, Ivan Masterov
The full set of Casimir elements of the centrally extended l-conformal Galilei algebra is found in simple and tractable form.
Spinning extensions of superconformal mechanics
Anton Galajinsky, Olaf Lechtenfeld
As is known, any realization of SU(2) in the phase space of a dynamical system can be generalized to accommodate the exceptional supergroup , which is the most general $\…