Classical Exchange Algebra of the Nonlinear Sigma Model on a Supercoset Target with ℤ_2n Grading

The classical exchange algebra satisfied by the monodromy matrix of the nonlinear sigma model on a supercoset target with ℤ_2n grading is derived using a first−order Hamiltonian formulation and by adding to the Lax connection terms proportional to constraints. This enables us to show that the conserved charges of the theory are in involution. When n=2, our results coincide with the results given by Magro for the pure spinor description of AdS₅×S⁵ string theory (when the ghost terms are omitted).