346 citations · 3.2k across the 53 of their papers we have counts for
19 papers · 1 filter
Eisenhart lifts and symmetries of time-dependent systems
M. Cariglia, C. Duval, G. W. Gibbons +1
Certain dissipative systems, such as Caldirola and Kannai's damped simple harmonic oscillator, may be modelled by time-dependent Lagrangian and hence time dependent Hamiltonian sys…
Wigner-Souriau translations and Lorentz symmetry of chiral fermions
C. Duval, M. Elbistan, P. A. Horvathy +1
Chiral fermions can be embedded into Souriau's massless spinning particle model by "enslaving" the spin, viewed as a gauge constraint. The latter is not invariant under Lorentz boo…
Conformal Carroll groups
C. Duval, G. W. Gibbons, P. A. Horvathy
Conformal extensions of Levy-Leblond's Carroll group, based on geometric properties analogous to those of Newton-Cartan space-time are proposed. The extensions are labelled by an i…
The geometry of Schrödinger symmetry in non-relativistic CFT
C. Duval, M. Hassaine, P. A. Horvathy
The non-relativistic conformal "Schroedinger" symmetry of some gravity backgrounds proposed recently in the AdS/CFT context, is explained in the "Bargmann framework". The formalism…
Chern-Simons gravity, based on a non-semisimple group
C. Duval, Z. Horváth, P. A. Horváthy
The gauge theory-formulation of string-motivated lineal gravity proposed by Cangemi and Jackiw is obtained by dimensional reduction from dimensional gravity with a Chern-Si…
Supersymmetry of the magnetic vortex
C Duval, P Horvathy
The N=2 supersymmetry of the Pauli Hamiltonian in any static magnetic field in the plane combines, for the magnetic vortex, with Jackiw's bosonic symmetry, into…
Strings in plane-fronted gravitational waves
C. Duval, Z. Horvath, P. A. Horvathy
Brinkmann's plane-fronted gravitational waves with parallel rays --~shortly pp-waves~-- are shown to provide, under suitable conditions, exact string vacua at all orders of the sig…
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…
Non-relativistic supersymmetry
C. Duval, P. A. Horvathy
The supersymmetric extensions of the Schrödinger algebra are reviewed.
Non-commuting coordinates, exotic particles, & anomalous anyons in the Hall effect
C. Duval, P. A. Horvathy
Our previous ``exotic'' particle, together with the more recent anomalous anyon model (which has arbitrary gyromagnetic factor ) are reviewed. The non-relativistic limit of the…
Anyons with anomalous gyromagnetic ratio & the Hall effect
C. Duval, P. A. Horvathy
Letting the mass depend on the spin-field coupling as , we propose a new set of relativistic planar equations of motion for spinning anyons. Our mode…
Chern-Simons vortices
C. Duval, P. A. Horvathy
In (2+1) dimensions, the Maxwell term can be replaced by the Chern-Simons three-form , yielding a novel type of `electromagnetism'. Thi…
Vanishing of the conformal anomaly for strings in a gravitational wave
C. Duval, Z. Horvath, P. A. Horvathy
Using the non-symmetric-connection approach proposed by Osborn, we demonstrate that, for a bosonic string in a specially chosen plane-fronted gravitational wave and an axion backgr…
Spin and exotic Galilean symmetry
C. Duval, P. A. Horvathy
A slightly modified and regularized version of the non-relativistic limit of the relativistic anyon model considered by Jackiw and Nair yields particles associated with the twofold…
Exotic galilean symmetry in the non-commutative plane, and the Hall effect
C. Duval, P. A. Horváthy
Quantum Mechanics in the non-commutative plane is shown to admit the ``exotic'' symmetry of the doubly-centrally-extended Galilei group. When coupled to a planar magnetic field who…
The exotic Galilei group and the "Peierls substitution"
C. Duval, P. A. Horváthy
Taking advantage of the two-parameter central extension of the planar Galilei group, we construct a non relativistic particle model in the plane. Owing to the extra structure, the…
Spinors in non-relativistic Chern-Simons electrodynamics
C. Duval, P. A. Horváthy, L. Palla
It is shown that the non-relativistic `Dirac' equation of Lévy-Leblond, we used recently to describe a spin field interacting non-relativistically with a Chern-Simons gauge f…
Spinor vortices in non-relativistic Chern-Simons theory
C. Duval, P. A. Horváthy, L. Palla
The non-relativistic `Dirac' equation of Lévy-Leblond is used to describe a spin {\small 1/2} particle interacting with a Chern-Simons gauge field. Static, purely magnetic, self-du…
The Nappi-Witten example and gravitational waves
C. Duval, Z. Horváth, P. A. Horváthy
The vanishing of the anomaly in the recent example of Nappi and Witten, constructed from the Wess-Zumino-Witten model based on a certain non-semisimple group, follows from a more g…