The Classical Exchange Algebra of AdS5 x S5 String Theory

Understand

The classical exchange algebra satisfied by the monodromy matrix of AdS5 x 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 x S5 string theory.