97 citations · 1.6k across the 79 of their papers we have counts for
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On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
Anton Galajinsky, Ivan Masterov
In two recent papers [N. Aizawa, Y. Kimura, J. Segar, J. Phys. A 46 (2013) 405204] and [N. Aizawa, Z. Kuznetsova, F. Toppan, J. Math. Phys. 56 (2015) 031701], representation theory…
Self-dual metrics with maximally superintegrable geodesic flows
Sergei Filyukov, Anton Galajinsky
A class of self-dual and geodesically complete spacetimes with maximally superintegrable geodesic flows is constructed by applying the Eisenhart lift to mechanics in pseudo-Euclide…
Ricci-flat spacetimes admitting higher rank Killing tensors
Marco Cariglia, Anton Galajinsky
Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift a…
N=4 superconformal mechanics from the su(2) perspective
Anton Galajinsky
The 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,…