Chevalley基下WZNW场论的Hamilton形式

Hamiltonian Formalism of WZNW Field Under Chevalley Basis

本文在半单Lie代数的Chevalley正则基下给出了二维WZNW场论的Hamilton形式,并在此基础上计算了守恒流之间的Poisson括号,结果正是经典的Kac-Moody流代数。

The Hamiltonian canonical formalism of two dimensional WZNW theory based on arbitrary semi-simple Lie algebras is given under Chevalley basis. The Poisson brackets of conserved chiral currents are calculated, which turn out to be the classical Kac-Moody current algebras.