The Classical Exchange Algebra of AdS5 x S5 String Theory

Details The Classical Exchange Algebra of AdS5 x S5 String Theory The Classical Exchange Algebra of AdS5 x S5 String Theory

2008-10-22

arxiv.org/abs/0810.4136v4

JHEP 0901:021,2009

Physics

High Energy Physics

High Energy Physics - Theory

37 pages; v2: Result on Jacobi identity and Yang-Baxter equation added in section 3.3; v3: References added; v4: Comparison wi

Scientific paper

10.1088/1126-6708/2009/01/021

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. These results are compared to the one obtained by A. Mikhailov and S. Schaefer-Nameki for the pure spinor formulation.

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