Non-abelian Harmonic Oscillators and Chiral Theories

Abstract

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 $Dif{f}_o{S}^1$. 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.

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References in corpus (1)

• The Global Phase Space Structure of the Wess-Zumino-Witten Model