On the Berkovits Covariant Quantization of GS Superstring

TL;DR

This paper clarifies and extends Berkovits' covariant quantization method for GS superstrings, demonstrating its applicability to curved backgrounds and providing a clearer connection with the original GS approach.

Contribution

It reformulates Berkovits' covariant quantization, clarifies its relation to GS superstrings, and extends the method to curved spacetime backgrounds, exemplified with the heterotic string.

Findings

Reformulation of Berkovits' approach for clarity

Explicit extension to curved spacetime backgrounds

Application demonstrated with heterotic string

Abstract

We study the covariant quantization of the Green-Schwarz (GS) superstrings proposed recently by Berkovits. In particular, we reformulate the Berkovits approach in a way that clarifies its relation with the GS approach and allows to derive in a straightforward way its extension to curved spacetime background. We explain the procedure working explicitly in the case of the heterotic string.