Hidden Symmetries of the AdS5 × S5 Superstring

Hidden Symmetries of the AdS5 × S5 Superstring

28 Jul 2003 | Iosif Bena, Joseph Polchinski, Radu Roiban
The paper explores the hidden symmetries of the AdS5 × S5 superstring, focusing on the existence of an infinite set of nonlocal classically conserved charges. These charges are similar to those found in integrable field theories and are derived from the structure of the worldsheet theory. The Green-Schwarz superstring on AdS5 × S5 is analyzed, and it is shown that it possesses an infinite symmetry algebra of the nonlocal type. These nonlocal charges are conserved in any κ gauge and are expected to survive quantization, though with modified algebras. The results extend to the superstring on AdS3 × S3 × T4 with RR flux, where the action has the same structure. The paper also discusses the implications of these findings for the AdS/CFT duality and the potential for solving large-N QCD using similar techniques. The construction of nonlocal charges in bosonic models is reviewed, and the application to the Green-Schwarz superstring is extended. The paper concludes with a discussion of the broader implications of these results for string theory and gauge theories, including the possibility of applying integrable field theory methods to the AdS5 × S5 superstring.The paper explores the hidden symmetries of the AdS5 × S5 superstring, focusing on the existence of an infinite set of nonlocal classically conserved charges. These charges are similar to those found in integrable field theories and are derived from the structure of the worldsheet theory. The Green-Schwarz superstring on AdS5 × S5 is analyzed, and it is shown that it possesses an infinite symmetry algebra of the nonlocal type. These nonlocal charges are conserved in any κ gauge and are expected to survive quantization, though with modified algebras. The results extend to the superstring on AdS3 × S3 × T4 with RR flux, where the action has the same structure. The paper also discusses the implications of these findings for the AdS/CFT duality and the potential for solving large-N QCD using similar techniques. The construction of nonlocal charges in bosonic models is reviewed, and the application to the Green-Schwarz superstring is extended. The paper concludes with a discussion of the broader implications of these results for string theory and gauge theories, including the possibility of applying integrable field theory methods to the AdS5 × S5 superstring.
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