Pseudoclassical model for Weyl particle in 10 dimensions

TL;DR

This paper introduces a pseudoclassical model for Weyl particles in 10 dimensions that reproduces key equations upon quantization, potentially aiding string theory reductions.

Contribution

It presents a novel pseudoclassical framework for Weyl particles in higher dimensions, automatically deriving the massless Dirac equation and Weyl condition.

Findings

Reproduces the massless Dirac equation upon quantization

Automatically derives the Weyl condition in the model

Potential application to string theory reductions

Abstract

A pseudoclassical model to describe Weyl particle in 10 dimensions is proposed. In course of quantization both the massless Dirac equation and the Weyl condition are reproduced automatically. The construction can be relevant to Ramond-Neveu-Schwarz strings where the Weyl reduction in the Ramond sector has to be made by hand.