Black holes, hidden symmetries, and complete integrability

VP Frolov, P Krtouš, D Kubizňák - Living reviews in relativity, 2017 - Springer
The study of higher-dimensional black holes is a subject which has recently attracted vast
interest. Perhaps one of the most surprising discoveries is a realization that the properties of …

SUSY in the sky

GW Gibbons, RH Rietdijk, JW Van Holten - Nuclear Physics B, 1993 - Elsevier
Spinning particles in curved space-time can have fermionic symmetries generated by the
square root of bosonic constants of motion other than the hamiltonian. We present a general …

On the electrodynamics of spinning particles

JW Van Holten - Nuclear Physics B, 1991 - Elsevier
We consider the electrodynamics of spinning point particles. We introduce a modification of
the Lorentz force law which can be interpreted as a classical limit of the Dirac-Klein-Gordon …

Quantum mechanics of Yano tensors: Dirac equation in curved spacetime

M Cariglia - Classical and Quantum Gravity, 2004 - iopscience.iop.org
In spacetimes admitting Yano tensors, the classical theory of the spinning particle possesses
enhanced worldline supersymmetry. Quantum mechanically generators of extra …

Supersymmetry and the geometry of Taub-NUT

JW Van Holten - Physics Letters B, 1995 - Elsevier
The supersymmetric extension of Taub-NUT space admits four standard supersymmetries
plus several additional non-standard ones. The geometrical origin of these symmetries is …

Covariant hamiltonian dynamics

JW Van Holten - Physical Review D—Particles, Fields, Gravitation, and …, 2007 - APS
We discuss the covariant formulation of the dynamics of particles with Abelian and non-
Abelian gauge charges in external fields. Using this formulation we develop an algorithm for …

Spinning particles in Schwarzschild spacetime

RH Rietdijk, JW Van Holten - Classical and Quantum Gravity, 1993 - iopscience.iop.org
The motion of pseudo-classical spinning particles in a static, spherically symmetric
spacetime (as described by the Schwarzschild coordinate system) is analysed. The …

Hidden symmetries and supergravity solutions

OP Santillan - Journal of mathematical physics, 2012 - pubs.aip.org
Hidden symmetries and supergravity solutions | Journal of Mathematical Physics | AIP
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Killing tensors and a new geometric duality

RH Rietdijk, JW Van Holten - Nuclear Physics B, 1996 - Elsevier
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 role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold

M Tanimoto - Nuclear Physics B, 1995 - Elsevier
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 …