Twistor string as tensionless superstring

TL;DR

This paper reviews the twistor string approach to supersymmetric Yang-Mills theories, exploring different formulations and their classical equivalences, and discusses potential links to tensionless superstrings and higher spin theories.

Contribution

It provides a comparative analysis of twistor string models and their relation to tensionless superstrings and higher-dimensional theories.

Findings

Classical equivalence between Siegel twistor string and Lorentz harmonics superstring

Possible connection of twistor string to D=10 Green-Schwarz superstring

Relevance of models in tensorial superspaces for higher spin theories

Abstract

We give a brief review of the twistor string approach to supersymmetric Yang-Mills theories with an emphasis on the different formulations of (super)string models in supertwistor space and their superspace form. We discuss the classical equivalence among the Siegel closed twistor string and the Lorentz harmonics formulation of the (N=4) tensionless superstring, and notice the possible relation of the twistor string to the D=10 Green-Schwarz superstring action, as well as to models in the enlarged, tensorial superspaces that are relevant in higher spin theories.