GL Flatness of OSp(1|2n) and Higher Spin Field Theory from Dynamics in Tensorial Spaces

TL;DR

This paper explores how higher spin field theories in four-dimensional flat and AdS spaces can be derived from the quantization of superparticles in tensorial superspaces exhibiting GL flatness, linking geometric properties to field dynamics.

Contribution

It demonstrates the emergence of higher spin theories from superparticle quantization in tensorial spaces with GL flatness, providing a geometric foundation for these fields.

Findings

Higher spin fields arise from superparticle quantization in tensorial superspaces.

Tensorial superspaces exhibit GL flatness, facilitating the derivation of field theories.

The approach connects geometric properties of superspaces to higher spin dynamics.

Abstract

A main purpose of this paper is to explain how the theory of higher spin fields in flat D=4 space and in AdS(4) emerges as a result of the quantization of a superparticle propagating in so called tensorial superspaces which have the property of a `generalized conformal' or simply General Linear (GL) flatness.