A Problem with the Superstring Action of Deriglazov and Galajinsky

TL;DR

This paper critiques a recently proposed covariant superstring action, demonstrating it contains extra on-shell degrees of freedom and is therefore not equivalent to the standard formulation.

Contribution

It reveals that Deriglazov and Galajinsky's proposed superstring action introduces additional on-shell degrees of freedom, challenging its claimed equivalence to the standard action.

Findings

The new action contains extra on-shell degrees of freedom.

The proposed action is inequivalent to the standard superstring action.

Abstract

Deriglazov and Galajinsky have recently proposed a new covariant action for the Green-Schwarz superstring which can be constructed in any spacetime dimension. In this short note, I show that their action contains extra on-shell degrees of freedom as compared with the standard action, and is therefore inequivalent.