Gauge symmetries of strings in supertwistor space

TL;DR

This paper explores the Hamiltonian structure and gauge symmetries of a supertwistor reformulation of superstring theory, analyzing constraints, generators, and quantum symmetries, and comparing with known twistor superstring models.

Contribution

It provides a detailed Hamiltonian analysis and classification of gauge symmetries for the supertwistor superstring, extending understanding of its quantum properties and relations to other models.

Findings

Classified constraints on phase-space variables.

Identified covariant gauge symmetry generators.

Examined quantum symmetries via world-sheet CFT techniques.

Abstract

Recently we have considered supertwistor reformulation of the D=4 N=1,2 superstring action that comprises Newman-Penrose dyad components and is classically equivalent to the Green-Schwarz one. It was shown that in the covariant kappa-symmetry gauge the supertwistor representation of the string action simplifies. Here we analyze its Hamiltonian formulation, classify the constraints on the phase-space variables, and find the covariant set of generators of the gauge symmetries. Quantum symmetries of the supertwistor representation of the string action are examined applying the world-sheet CFT technique. Considered are various generalizations of the model from the perspective of their possible relation to known twistor superstring models.