Covariant Quantization of the Superparticle Using Pure Spinors

TL;DR

This paper presents a covariant quantization method for the ten-dimensional superparticle using pure spinors, extending a recent approach from superstring theory, and highlights its relation to Chern-Simons theory quantization.

Contribution

It introduces a covariant quantization technique for the superparticle with pure spinors, simplifying the process and providing insights relevant to superstring quantization.

Findings

Successful covariant quantization of the superparticle

Connection established between superparticle and Chern-Simons quantization

Potential for applying this method to superstring theory

Abstract

The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was recently used for covariantly quantizing the superstring, and it is hoped that the simpler case of the superparticle will be useful for those who want to study this quantization method. It is interesting that quantization of the superparticle action closely resembles quantization of the worldline action for Chern-Simons theory.