Equivariant quantization of spin systems

TL;DR

This paper reviews the geometric and conformally equivariant quantizations of the supercotangent bundle, modeling the phase space of classical spin particles, highlighting their mathematical structures and properties.

Contribution

It provides a concise review of previous work on equivariant quantizations of supercotangent bundles for spin systems.

Findings

Established geometric and conformally equivariant quantizations

Analyzed the structure of supercotangent bundles in spin systems

Summarized key results from prior research

Abstract

We investigate the geometric and conformally equivariant quantizations of the supercotangent bundle of a pseudo-Riemannian manifold $(M,g)$, which is a model for the phase space of a classical spin particle. This is a short review of our previous works.