The Classical Exchange Algebra of AdS5 x S5 String Theory
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.
Cite
@article{arxiv.0810.4136,
title = {The Classical Exchange Algebra of AdS5 x S5 String Theory},
author = {Marc Magro},
journal= {arXiv preprint arXiv:0810.4136},
year = {2009}
}
Comments
37 pages; v2: Result on Jacobi identity and Yang-Baxter equation added in section 3.3; v3: References added; v4: Comparison with ref [12] clarified in section 3.3