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On integrability of classical superstrings in AdS5 × S5

Luis Fernando Alday1, Gleb Arutyunov1 and Arkady A. Tseytlin2

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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.

Keywords

Integrable Field Theories

AdS-CFT and dS-CFT Correspondence

Sigma Models

 

E-print Number: hep-th/0502240

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.10.Cd Axiomatic approach

11.10.Lm Nonlinear or nonlocal theories and models

Subjects

Particle physics and field theory

Dates

Issue 07 (July 2005)

Received 9 May 2005, accepted for publication 27 May 2005

Published 4 July 2005



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