Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring

TL;DR

This paper proves that the classical pure spinor superstring in AdS_5 x S^5 admits a one-parameter family of flat currents, extending previous results for the Green-Schwarz superstring, which has implications for integrability.

Contribution

It demonstrates the existence of a flat current depending on a continuous parameter in the pure spinor superstring, generalizing prior Green-Schwarz string results.

Findings

Existence of a flat current in the pure spinor superstring

Generalization of Green-Schwarz superstring results

Implications for integrability of the model

Abstract

It is proven that the classical pure spinor superstring in an AdS_5 x S^5 background has a flat current depending on a continuous parameter. This generalizes the recent result of Bena, et al. for the classical Green-Schwarz superstring.