Conquest of the ghost pyramid of the superstring

TL;DR

This paper introduces a novel BRST operator for superstring theory, leading to a quadratic gauge-fixed action and a new gauge-invariant formulation with first-class constraints, simplifying the ghost structure.

Contribution

It presents a new BRST operator and gauge-invariant action for superstrings, clarifying the structure of ghost fields and constraints.

Findings

New BRST operator for superstring

Quadratic gauge-fixed action derived

Simplified ghost pyramid structure

Abstract

We give a new Becchi-Rouet-Stora-Tyutin operator for the superstring. It implies a quadratic gauge-fixed action, and a new gauge-invariant action with first-class constraints. The infinite pyramid of spinor ghosts appears in a simple way through ghost gamma matrices.