Supertwistor description of the $AdS$ pure spinor string

TL;DR

This paper presents a novel supertwistor formulation of the pure spinor string in the $AdS_5\times S^5$ background, utilizing unconstrained matrices to simplify the description.

Contribution

It introduces a supertwistor approach to the pure spinor string in $AdS_5\times S^5$ using unconstrained matrices, extending previous formalisms.

Findings

Provides a new supertwistor formulation for the pure spinor string.

Simplifies the description of the string in $AdS_5\times S^5$.

Connects supertwistor methods with pure spinor formalism.

Abstract

We describe the pure spinor string in the $AdS_5\times S^5$ using unconstrained matrices first used by Roiban and Siegel for the Green-Schwarz superstring.