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JHEP07(2005)002   doi: 10.1088/1126-6708/2005/07/002

On integrability of classical superstrings in AdS5 × S5


Luis Fernando Alday1, Gleb Arutyunov1 and Arkady A. Tseytlin2
1 Institute for Theoretical Physics and Spinoza Institute, Utrecht University, Netherlands
2 Department of Physics, The Ohio State University, Columbus, OH 43210-1106, U.S.A.
E-mail: L.F.Alday@phys.uu.nl

Abstract. We explore integrability properties of superstring equations of motion in AdS5 × S5. We impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax representation for the corresponding hamiltonian dynamics on subspace of physical superstring degrees of freedom. We present some explicit results for the corresponding conserved charges by consistently reducing the dynamics to AdS3 × S3 and AdS3 × S1 subsectors containing both bosonic and fermionic fields.

Key words: Sigma Models; AdS-CFT and dS-CFT Correspondence; Integrable Field Theories

E-print number: hep-th/0502240
Cited: by
Refers: to

Received 9 May 2005, accepted for publication 27 May 2005
Published 4 July 2005

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