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Integrability of the gauged linear sigma model for AdS5 × S5

William D. Linch III et al JHEP11(2009)007   doi: 10.1088/1126-6708/2009/11/007  Help

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William D. Linch IIIa and Brenno Carlini Vallilob
a C.N. Yang Institute for Theoretical Physics and Department of Mathematics, SUNY, Stony Brook, NY 11794-3840, U.S.A.
b Departamento de Ciencias Físicas, Universidad Andres Bello, Republica 220, Santiago, Chile
E-mail: wdlinch3@math.sunysb.edu and vallilo@unab.cl

Abstract. Recently, a gauged linear sigma model was proposed by Berkovits and Vafa which can be used to describe the AdS5 × S5 superstring at finite and zero radius. In this paper we show that the model is classically integrable by constructing its first non-local conserved charge and a superspace Lax ``quartet''. Quantum conservation of the non-local charge follows easily from superspace rules.

Key words: AdS-CFT Correspondence; Conformal Field Models in String Theory

E-print number: 0804.4507
Cited: by
Refers: to

Received 31 August 2009, accepted for publication 22 October 2009
Published 4 November 2009

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