A bstract We derive manifestly covariant actions of spinning particles starting from coadjoint
orbits of isometry groups, by using Hamiltonian reductions. We show that the defining …

We present the manifestly covariant Lagrangian of a massless polarized particle that implies
all dynamic and algebraic equations as the conditions of extreme of this variational problem …

Symmetry | Free Full-Text | Coadjoint Orbits of the Poincaré Group for Discrete-Spin Particles in
Any Dimension Next Article in Journal Binaural Background Noise Enhances Neuromagnetic …

The nongeneric six-and eightdimensional orbits of SO (4, 2) are described in explicitly
covariant way. The relevant Hamiltonian dynamical systems are constructed and canonically …

We propose a solution to a classic problem in gravitational physics consisting of defining the
spin associated with asymptotically-flat spacetimes. We advocate that the correct asymptotic …

We consider chiral, generally nonlinear density waves in one dimension, modelling the
bosonized edge modes of a two-dimensional fermionic topological insulator. Using the …

In these lectures we review two approaches to constructing particle actions from coset
spaces of symmetry groups: non-linear realisations and coadjoint orbits. At the level of …

The relativistic (Poincaré and conformal) symmetries of classical elementary systems are
briefly discussed and reviewed. The main framework is provided by the Hamiltonian …

We study the construction of a manifestly covariant worldline action from a coadjoint orbit. A
coadjoint orbit is a submanifold in the dual vector space of the Lie algebra and generated by …