Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields

Abstract：

The Hamiltonian reductions of supersymmetric self-dual Yang-Mills theory are analysed. Under the left-right dual constant constraints, this theory is reduced to the four dimensional supersymmetric nonabelian Toda model. The corresponding actionand linear systems are also obtained as the result of Hamiltonian reductions. In the case of first order constraints under the principal gradation of the underlying Lie superalgebra, the reduced theory is shown to be the four dimensional supersymmetric Toda model. The reduction procedure apply to any Lie superalgebra without requiring a purely odd simple root system.