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11 papers · 2 filters
Celestial Mechanics, Conformal Structures, and Gravitational Waves
C. Duval, G. Gibbons, P. Horvathy
The equations of motion for non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a -dimensiona…
Helicity supersymmetry of dyons
F. Bloore, P. A. Horvathy
The 'dyon' system of D'Hoker and Vinet consisting of a spin 1/2 particle with anomalous gyromagnetic ratio 4 in the combined field of a Dirac monopole plus a Coulomb plus a suitabl…
The Dirac equation in Taub-NUT space
A. Comtet, P. A. Horvathy
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravitational instanton field is exactly soluble and explain the arisal and the use of the dyna…
On Schrödinger superalgebras
C. Duval, P. A. Horvathy
We construct, using the supersymplectic framework of Berezin, Kostant and others, two types of supersymmetric extensions of the Schrödinger algebra (itself a conformal extension of…
Superconducting vortices in Semilocal Models
Peter Forgacs, Sebastien Reuillon, Mikhail Volkov
It is shown that the SU(2) semilocal model -- the Abelian Higgs model with two complex scalars -- admits a new class of stationary, straight string solutions carrying a persistent…
A deformed analogue of Onsager's symmetry in the XXZ open spin chain
P. Baseilhac, K. Koizumi
The XXZ open spin chain with general integrable boundary conditions is shown to possess a q-deformed analogue of the Onsager's algebra as fundamental non-abelian symmetry which ens…