Dynamics of Higher Spin Fields and Tensorial Space

TL;DR

This paper reviews the structure and dynamics of massless higher spin fields, emphasizing conformal invariance, and connects them to twistor-like particles in tensorial spaces across various dimensions.

Contribution

It establishes a link between conformal higher spin fields and twistor-like particle models in tensorial spaces, providing detailed analysis of their field equations.

Findings

Conformal higher spin fields form the quantum spectrum of twistor-like particles.

Field equations relate to known free higher spin theories.

Analysis spans multiple dimensions including D=3,4,6,10.

Abstract

The structure and the dynamics of massless higher spin fields in various dimensions are reviewed with an emphasis on conformally invariant higher spin fields. We show that in D=3,4,6 and 10 dimensional space-time the conformal higher spin fields constitute the quantum spectrum of a twistor-like particle propagating in tensorial spaces of corresponding dimensions. We give a detailed analysis of the field equations of the model and establish their relation with known formulations of free higher spin field theory.