Classical Exchange Algebra of the Superstring on S5 with the AdS-time

Abstract

A classical exchange algebra of the superstring on S5 with the AdS-time is shown on the light-like plane. To this end we use the geometrical method of which consistency is guaranteed by the classical Yang-Baxter equation. The Dirac method does not work, there being constraints which contain first-class and second-class and one can disentangle with each other keeping the isometry hardly.

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