Euihun Joung (Kyung Hee University)
Title: Manifestly Covariant Worldline Actions from Coadjoint Orbits and Dual Pair Correspondences
Abstract: I will show how one can derive manifestly covariant actions of spinning particles starting from coadjoint orbits of isometry groups, by using Hamiltonian reductions. The defining conditions of a classical Lie group can be treated as Hamiltonian constraints which generate the coadjoint orbits of another, dual, Lie group. This defines a symplectic dual pair correspondence between the coadjoint orbits of the isometry group and those of the dual Lie group, whose quantum version is the reductive dual pair correspondence à la Howe. The classification of coadjoint orbits of Poincaré and (A)dS symmetry will be presented together with their duals. The relative inclusion structure of the corresponding orbits will be also discussed.