The classical exchange algebra of AdS5 × S5 string theory

Abstract : The classical exchange algebra satisfied by the monodromy matrix of AdS5 × S5 string theory in the Green-Schwarz formulation is determined by using a first-order Hamiltonian formulation and by adding to the Bena-Polchinski-Roiban Lax connection terms proportional to constraints. This enables in particular to show that the conserved charges of this theory are in involution. This result is obtained for a general world-sheet metric. The same exchange algebra is obtained within the pure spinor description of AdS5 × S5 string theory. These results are compared to the one obtained by A. Mikhailov and S. Schäfer-Nameki for the pure spinor formulation.
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Submitted on : Thursday, January 8, 2009 - 6:11:46 PM
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Marc Magro. The classical exchange algebra of AdS5 × S5 string theory. Journal of High Energy Physics, Springer, 2009, pp.021. ⟨10.1088/1126-6708/2009/01/021⟩. ⟨ensl-00351264⟩

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