The BV Quantisation of Superparticles Type I and II

TL;DR

This paper analyzes the BRST cohomology of superparticles of types I and II using BV methods, revealing that their spectrum matches ten-dimensional super-Yang-Mills theory, and employs an extended super-space for covariant actions.

Contribution

It introduces a BV-based approach to compute BRST cohomology for superparticles, demonstrating the spectrum equivalence with super-Yang-Mills theory.

Findings

BRST cohomology matches super-Yang-Mills spectrum

Extended super-space constructs covariant superparticle actions

BV methods effectively handle large symmetry models

Abstract

{ This letter discusses the BRST cohomology of superparticles type I and II. It was used an extended super-space to construct $S0(9,1)$ superparticle actions that lead to super-wave functions whose spinor components satisfy $S0(9,1)$ covariant constraints. Their BRST charges were found by using BV methods, since the models present a large number of symmetries and only close on-shell. It is shown that the zero ghost-number cohomology class of both models reproduce the same spectrum as that of N=1 ten dimensional super-Yang-Mills theory. }