Hidden Symmetries of the AdS_5 x S^5 Superstring

TL;DR

This paper explores the integrability of the Green-Schwarz superstring on AdS_5 x S^5, revealing an infinite set of conserved charges that suggest the world sheet theory may be exactly solvable in certain cases.

Contribution

It demonstrates the existence of nonlocal classically conserved charges indicating integrability in the superstring theory on AdS_5 x S^5.

Findings

Identification of an infinite set of conserved charges

Evidence for classical integrability of the superstring

Potential for exact solvability in certain regimes

Abstract

Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the gravity dual are adequate, and one must consider the full string theory in the appropriate background. We suggest that in some nontrivial cases the world sheet theory may be exactly solvable. For the Green-Schwarz superstring on AdS_5 x S^5 we find an infinite set of nonlocal classically conserved charges, of the type that exist in integrable field theories.