Purely twistorial string with canonical twistor field quantization

TL;DR

This paper presents a new purely twistorial, scale-invariant string action in four dimensions, with canonical quantization rules derived from gauge fixing, revealing underlying Virasoro and Kac-Moody symmetries.

Contribution

It introduces a novel twistorial string model with a clear canonical quantization framework and detailed constraint analysis, expanding twistorial approaches to string theory.

Findings

Derivation of bilinear twistorial action through gauge fixing.

Identification of four first class constraints including Virasoro and Kac-Moody symmetries.

Establishment of canonical quantization rules for twistorial string fields.

Abstract

We introduce new purely twistorial scale-invariant action describing the composite bosonic D=4 Nambu-Goto string with target space parametrized by the pair of D=4 twistors. We show that by suitable gauge fixing of local scaling one gets the bilinear twistorial action and canonical quantization rules for the two-dimensional twistor-string fields. We consider the Poisson brackets of all constraints characterizing our model and we obtain four first class constraints describing two Virasoro constraints and two U(1)xU(1) Kac-Moody (KM) local phase transformations.