247 citations · 988 across the 59 of their papers we have counts for
28 papers · 1 filter
Killing tensors and canonical geometry
M. Cariglia, G. W. Gibbons, J. -W. van Holten +3
The systematic derivation of constants of the motion, based on Killing tensors and the gauge covariant approach, is outlined. Quantum dots are shown to support second-, third- and…
Time-reparametrization invariance and Hamilton-Jacobi approach to the cosmological sigma-model
Jan-Willem van Holten, Richard Kerner
The construction of physical models with local time-reparametrization invariance is reviewed. Negative-energy contributions to the hamiltonian are shown to be crucial for the reali…
Dynamical supersymmetry of spin particle-magnetic field interaction
J. -P. Ngome, P. A. Horváthy, J. W. van Holten
We study the super and dynamical symmetries of a fermion in a monopole background. The Hamiltonian also involves an additional spin-orbit coupling term, which is parameterized by t…
Nonrelativistic Chern-Simons Vortices on the Torus
Nikolas Akerblom, Gunther Cornelissen, Gerben Stavenga +1
A classification of all periodic self-dual static vortex solutions of the Jackiw-Pi model is given. Physically acceptable solutions of the Liouville equation are related to a class…
A note on BRST quantization of SU(2) Yang-Mills mechanics
A. Fuster, J. W. van Holten
The quantization of SU(2) Yang-Mills theory reduced to 0+1 space-time dimensions is performed in the BRST framework. We show that in the unitary gauge the BRST procedure…
Kaehler manifolds and supersymmetry
J. W. van Holten
Supersymmetric field theories of scalars and fermions in 4-D space-time can be cast in the formalism of Kaehler geometry. In these lectures I review Kaehler geometry and its applic…
Relativistic fluid mechanics, Kahler manifolds and supersymmetry
T. S. Nyawelo, J. W. van Holten, S. Groot Nibbelink
We propose an alternative for the Clebsch decomposition of currents in fluid mechanics, in terms of complex potentials taking values in a Kahler manifold. We reformulate classical…
Singular supersymmetric sigma models
T. S. Nyawelo, F. Riccioni, J. W. van Holten +1
Supersymmetric non-linear sigma-models are described by a field dependent Kaehler metric determining the kinetic terms. In general it is not guaranteed that this metric is always i…
Aspects of BRST Quantization
J. W. van Holten
BRST-methods provide elegant and powerful tools for the construction and analysis of constrained systems, including models of particles, strings and fields. These lectures provide…
Worldine deviations and epicycles
J. W. van Holten
In general relativity, only relative acceleration has an observer-independend meaning: curvature and non-gravitational forces determine the rate at which world lines of test bodies…
Superhydrodynamics
T. S. Nyawelo, J. W. van Holten, S. Groot Nibbelink
We present a covariant and supersymmetric theory of relativistic hydrodynamics in four-dimensional Minkowski space.
Construction and analysis of anomaly-free supersymmetric SO(2N)/U(N) sigma-models
S. Groot Nibbelink, T. S. Nyawelo, J. W. van Holten
This paper discusses a procedure for the consistent coupling of gauge- and matter superfields to supersymmetric sigma-models on symmetric coset spaces of Kaehler type. We exhibit t…
Monopole supersymmetries and the Biedenharn operator
P. A. Horváthy, A. J. Macfarlane, J. -W. van Holten
The hidden supersymmetry of the monopole found by De Jonghe et al. is generalized to a spin $\2$ particle in the combined field of a Dirac monopole plus a potential [cons…
Consistent sigma-models in N=1 supergravity
S. Groot Nibbelink, J. W. van Holten
A consistent N=1 supersymmetric -model can be constructed, given a Kähler manifold by adding chiral matter multiplets. Their scalar components are covariant tensors on the under…
An index theorem for non-standard Dirac operators
Jan-Willem van Holten, Andrew Waldron, Kasper Peeters
On manifolds with non-trivial Killing tensors admitting a square root of the Killing-Yano type one can construct non-standard Dirac operators which differ from, but commute with, t…
Matter coupling and anomaly cancellation in supersymmetric sigma-models
S. Groot Nibbelink, J. W. van Holten
Generalized matter couplings to four-dimensional supersymmetric sigma models on general Kaehler manifolds are presented, preserving all holomorphic symmetries. Our generalization a…
Off shell -symmetry of the superparticle and the spinning superparticle
P. D. Jarvis, J. W. van Holten, J. Kowalski-Glikman
The spinorial local world-line -symmetry of the covariant Brink-Schwarz formulation of the 4- superparticle is abelian in an off-shell phase-space formulation. The result is…
Stability and mass of point particles
J. W. van Holten
In this paper we consider classical point particles in full interaction with an arbitrary number of dynamical scalar and (abelian) vector fields. It is shown that the requirement o…
Particle Motion in a Yang-Mills Field: Wong's Equations and Spin One-half Analogues
N Linden A J Macfarlane, J W van Holten
A complete, straightforward and natural Lagrangian description is given for the classical non-relativistic dynamics of a particle with colour or internal symmetry degrees of freedo…
Fermions and world-line supersymmetry
J. W. van Holten
The world-line path-integral representation of fermion propagators is discussed. Particular attention is paid to the representation of , which is connected to the realization…
D = 1 Supergravity and Spinning Particles
J. W. van Holten
In this paper I review the multiplet calculus of , local supersymmetry with applications to the construction of models for spinning particles in background fields, a…
Killing tensors and a new geometric duality
R. H. Rietdijk, J. W. van Holten
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 met…
Propagators and Path Integrals
J. W. van Holten
Path-integral expressions for one-particle propagators in scalar and fermionic field theories are derived, for arbitrary mass. This establishes a direct connection between field th…
Domain boundaries, Goldstone bosons and gravitational waves
J. W. van Holten
The dynamical behaviour of domain boundaries between different realizations of the vacuum of scalar fields with spontaneously broken phases is investigated. They correspond to zero…