Spinor and Twistor Formulations of Tensionless Bosonic Strings in Four Dimensions

TL;DR

This paper develops spinor and twistor formulations for tensionless bosonic strings in four-dimensional Minkowski space, providing new actions and insights into their symmetries and classical properties.

Contribution

It introduces novel spinorial and twistor actions for tensionless strings, expanding the theoretical framework and understanding of their symmetries and classical behavior.

Findings

Constructed spinor and twistor formulations for tensionless strings.

Identified internal symmetries in the twistorial action.

Performed classical analysis of tensionless strings in twistor form.

Abstract

Spinor and twistor formulations of tensionless bosonic strings in 4-dimensional Minkowski space are constructed. We begin with a first-order action that is equivalent to the Nambu-Goto action in the tensionful case and that leads to a spinorial action in the tensionless case. From this spinorial action, we find an alternative spinorial action useful for constructing a simple twistor formulation of tensionless strings. The twistor formulation is steadily constructed in accordance with a fundamental concept of twistor theory. We investigate local internal symmetries inherent in the twistorial action for a tensionless string and carry out some classical analyses of the tensionless string expressed in a twistorial form.