A Note on the Superstring BRST Operator

TL;DR

This paper presents a new expression for the superstring BRST operator that simplifies the proof of its nilpotency, enhancing understanding of superstring quantization.

Contribution

It introduces a novel exponential form of the BRST operator, providing a straightforward proof of its nilpotency in superstring theory.

Findings

Simplified proof of the nilpotency of the superstring BRST operator

New exponential representation of the BRST operator

Enhanced understanding of superstring ghost structure

Abstract

We write the BRST operator of the N=1 superstring as $Q= e^{-R} (\oint dz \gamma^2 b)e^R$ where $\gamma$ and $b$ are super-reparameterization ghosts. This provides a trivial proof that $Q$ is nilpotent.