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Integrability of the gauged linear sigma model for AdS5 × S5

William D. Linch IIIa and Brenno Carlini Vallilob

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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.

Keywords

AdS-CFT and dS-CFT Correspondence

Conformal Field Models in String Theory

 

E-print Number: 0804.4507

Cited: by |

Refers: to

PACS

11.10.Cd Axiomatic approach

11.25.Hf Conformal field theory, algebraic structures

11.15.-q Gauge field theories

11.25.Db Properties of perturbation theory

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2009)

Received 31 August 2009, accepted for publication 22 October 2009

Published 4 November 2009



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