On the Covariant Quantization of the 2nd-Ilk Superparticle

TL;DR

This paper presents a covariant quantization approach for the second-ilk superparticle using the Batalin-Vilkovisky method, revealing a free gauge-fixed quantum action and consistent physical spectrum via BRST cohomology.

Contribution

It introduces a covariant quantization framework for the second-ilk superparticle employing the Batalin-Vilkovisky method and gauge conditions on gauge fields.

Findings

Full structure of the master action is derived.

Gauge-fixed quantum action is shown to be free.

BRST cohomology matches the light-cone superparticle spectrum.

Abstract

This paper is devoted to the quantization of the second-ilk superparticle using the Batalin-Vilkovisky method. We show the full structure of the master action. By imposing gauge conditions on the gauge fields rather than on coordinates we find a gauge-fixed quantum action which is free. The structure of the BRST charge is exhibited and the BRST cohomology yields the same physical spectrum as the light- cone quantization of the usual superparticle.