# The Pure Spinor Formulation of Superstrings

## TL;DR

This paper outlines the construction and properties of pure spinor superstrings, including their integrability on curved backgrounds with RR fluxes, covering both open and closed strings in various dimensions.

## Contribution

It provides a comprehensive formulation of pure spinor superstrings in diverse backgrounds, highlighting their integrability and extending previous models.

## Key findings

- Pure spinor superstrings constructed in critical and noncritical dimensions.
- Demonstrated integrability of pure spinor superstrings on curved backgrounds with RR flux.
- Applicable to both open and closed superstrings.

## Abstract

In this lectures we outline the construction of pure spinor superstrings. We consider both the open and closed pure spinor superstrings in critical and noncritical dimensions and on flat and curved target spaces with RR flux. We exhibit the integrability properties of pure spinor superstrings on curved backgrounds with RR fluxes.