Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model

Abstract：

The Hamiltonian reductions of supersymmef nc self-dual Yang-Mills model are studied. Under the left-right dual constant regular cons:mints, we derive the four-dimensional supersymmetric non-Abelian Toda models, (he corresponding effective action and the associated linear systems. In the special case cf the first order constraints under the principal gradation, we obtain the four-dimensional supersymmetric Toda model. The reduction procedure holds for any Lie sun e-algebra without requiring a purely odd simple root system.