Canonical description of D=10 superstring formulated in supertwistor space

TL;DR

This paper develops a canonical framework for the D=10 superstring using supertwistor variables, analyzing constraints, brackets, and the impact of a deformation parameter related to string tension.

Contribution

It introduces a supertwistor-based canonical formulation of the D=10 superstring, including constraint classification and algebra deformation analysis.

Findings

Constraints are classified into first- and second-class.

Deformation of the algebra depends on the parameter alpha'.

Abstract

Canonical description of the D=10 superstring action involving supertwistor variables generalizing Penrose-Ferber supertwistors is developed. Primary and secondary constraints are identified and arranged into the first- and second-class sets. Dirac brackets are introduced and the deformation of the Poisson bracket algebra of the first-class constraints is studied. The role of the deformation parameter is played by alpha'.