This article reviews the role of hidden symmetries of dynamics in the study of physical
systems, from the basic concepts of symmetries in phase space to the forefront of current …

A bstract We demonstrate separability of the Maxwell's equations in the Myers-Perry-(A) dS
geometry and derive explicit solutions for various polarizations. Application of our …

Starting with the Lagrangian formalism with N= 2 supersymmetry in terms of two Grassmann
variables in Classical Mechanics, the Dirac canonical quantization method is implemented …

A bstract We construct the Killing (-Yano) tensors for a large class of charged black holes in
higher dimensions and study general properties of such tensors, in particular, their behavior …

The higher-dimensional Kerr–NUT–de Sitter spacetime describes the general rotating
asymptotically de Sitter black hole with NUT parameters. It is known that such a spacetime …

We present a theorem describing a dual relation between the local geometry of a space
admitting a symmetric second-rank Killing tensor, and the local geometry of a space with a …

The supersymmetric extension of the motion of a charged point particle is applied to
investigate symmetries of gravitational fields and electromagnetic fields. We mainly focus on …

The S-duality transformations of the lowest order string effective theory admit a space time
interpretation for 4-dim backgrounds with one Killing symmetry. Starting from pure gravity …

Abstract The presence of Killing-Yano tensors implies the existence of non-standard
supersymmetries in point-particle theories on curved backgrounds. In a string theoretical …

The non-relativistic dynamics of a spin-1 2 particle in a monopole field possesses a rich
supersymmetry structure. One supersymmetry, uncovered by d'Hoker and Vinet, is of the …