The Classical Exchange Algebra of AdS5 x S^5

Magro, Marc

doi:10.1088/1126-6708/2009/01/021

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The Classical Exchange Algebra of AdS5 x S^5

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Magro, Marc
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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jhep012009021.pdf
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0810.4136v1.pdf
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Magro, M. (2009). The Classical Exchange Algebra of AdS5 x S^5. Journal of High Energy Physics, 2009(01): 021. doi:10.1088/1126-6708/2009/01/021.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-454D-E

Abstract

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.