6 citations · 9 across the 8 of their papers we have counts for
8 papers
The Bohlin variant of the Eisenhart lift
Anton Galajinsky
Inspired by the Bohlin transformation relating the planar harmonic oscillator to the Kepler problem, a variant of the Eisenhart lift is studied, in which a Lagrangian conservative…
Remarks on Galilean electromagnetism
Anton Galajinsky
It is shown that equations describing the Galilean electromagnetism in the presence of sources hold invariant under the l-conformal Galilei group for an arbitrary (half)integer par…
Rational Ruijsenaars-Schneider model with cosmological constant
Anton Galajinsky
The Ruijsenaars-Schneider models are integrable dynamical realizations of the Poincare group in 1+1 dimensions, which reduce to the Calogero and Sutherland systems in the nonrelati…
Remarks on integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models
Anton Galajinsky
Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials W(x)=2/x, W(x)=2/sin(x), and W(x)=2/sinh(x) is proven. The problem of construc…
On minimal coupling of the ABC-superparticle to supergravity background
A. V. Galajinsky, D. M. Gitman
By rigorous application of the Hamiltonian methods we show that the ABC-formulation of the Siegel superparticle admits consistent minimal coupling to external supergravity. The con…
On zero modes of the eleven dimensional superstring
A. A. Deriglazov, D. M. Gitman
It is shown that recently pointed out by Berkovits on-shell degrees of freedom of the D=11 superstring do not make contributions into the quantum states spectrum of the theory. As…
A Covariant Action for the Eleven Dimensional Superstring
A. A. Deriglazov, A. V. Galajinsky
We suggest a super Poincaré invariant action for closed eleven dimensional superstring. The sector of physical variables , , , with and $…
On possible generalization of the superstring action to eleven dimensions
A. A. Deriglazov, A. V. Galajinsky
We suggest a D=11 super Poincaré invariant action for the superstring which has free dynamics in the physical variables sector. Instead of the standard approach based on the search…