Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle

TL;DR

This paper develops a covariant quantization method for the superparticle in 10D, revealing a noncommutative superspace with hidden 11D symmetry and proposing a supersymmetric star product for string field theory.

Contribution

It introduces a novel covariant quantization approach that produces a noncommutative superspace with hidden higher-dimensional symmetry and a supersymmetric star product.

Findings

Consistent off-shell quantization with lightcone results

Construction of a supersymmetric Moyal star product

Introduction of new techniques in noncommutative supergeometry

Abstract

A covariant quantization method is developed for the off-shell superparticle in 10 dimensions. On-shell it is consistent with lightcone quantization, while off-shell it gives a noncommutative superspace that realizes non-linearly a hidden 11-dimensional super Poincare symmetry. The non-linear commutation rules are then used to construct the supersymmetric generalization of the covariant Moyal star product in noncommutative superspace. As one of the possible applications, we propose this new product as the star product in supersymmetric string field theory. Furthermore, the formalism introduces new techniques and concepts in noncommutative (super)geometry.