Integrability of the Gauged Linear Sigma Model for AdS_5xS^5

TL;DR

This paper demonstrates the classical integrability of a gauged linear sigma model for AdS_5xS^5 superstring, establishing its conserved charges and Lax structure, and confirms quantum conservation of these charges.

Contribution

It provides the first explicit construction of conserved charges and a Lax pair for the model, proving its classical integrability and quantum conservation.

Findings

Classical integrability established via conserved charges and Lax pair.

Quantum non-local charge conservation confirmed.

Model describes AdS_5xS^5 superstring at finite and zero radius.

Abstract

Recently, a gauged linear sigma model was proposed by Berkovits and Vafa which can be used to describe the AdS_5xS^5 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.