The classical exchange algebra of AdS5 × S5 string theory

Marc Magro (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

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.

Mots clés: Integrability; AdS-CFT correspondence

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Marc Magro. The classical exchange algebra of AdS5 × S5 string theory. Journal of High Energy Physics, 2009, 01, pp.021. ⟨10.1088/1126-6708/2009/01/021⟩. ⟨ensl-00351264⟩