The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring

Details The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring

2004-11-22

arxiv.org/abs/hep-th/0411200v2

JHEP0412:055,2004

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Latex, jhep style; references added

Scientific paper

10.1088/1126-6708/2004/12/055

We consider integrability properties of the superstring on $AdS_{5}\times S^{5}$ background and construct a new one parameter family of currents which satisfies the vanishing curvature condition. We present the Hamiltonian analysis for the sigma model action and determine the Poisson algebra of the transition matrices. We reveal the generalization of the $\mathbb{Z}_{4}$ automorphism analogous to the sigma models defined on a symmetric space coset. A possible regularization scheme for the ambiguities present, which respects the generalized automorphism, is also discussed.

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