Non--commutative Group Manifolds
We show that a chiral sector of a symplectic group manifold possesses a symmetry similar to, but somewhat weaker than the Lie--Poisson one.
hep-th↗
arXiv subjects
P. Siemion
Publications and source records attributed to P. Siemion.
Chiral Splitting at Work
Second-order equations of motion on a group manifold that appear in a large class of so-called chiral theories are presented. These equations are presented and explicitely solved for cases of semi-simple, finite-dimensional Lie groups. With three figures avaliable from the authors upon request.
hep-th↗
Non-abelian Harmonic Oscillators and Chiral Theories
We show that a large class of physical theories which has been under intensive investigation recently, share the same geometric features in their Hamiltonian formulation. These dynamical systems range from harmonic oscillations to WZW-like models and to the KdV dynamics on $Diff_oS^1$. To the same class belong also the Hamiltonian systems on groups of maps. The common feature of these models are the 'chiral' equations of motion allowing for so-called chiral decomposition of the phase space.
hep-th↗