Hamiltonian BRST Quantization of the Conformal Spinning String

TL;DR

This paper presents a Hamiltonian BRST quantization approach for the null spinning string with various supersymmetries, revealing its conformal invariance and critical dimensions, and extending previous results.

Contribution

It introduces a null spinning string model with manifest space-time conformal invariance and performs its BRST quantization across different supersymmetry counts.

Findings

Negative critical dimension for non-zero supersymmetries

Reproduction of previous results for zero supersymmetry

Construction of a conformally invariant null spinning string

Abstract

The Hamiltonian BRST quantization of the null spinning string for different number of supersymmetries is given. A null spinning string with manifest space-time conformal invariance is constructed. Its Brst quantization gives negative critical dimension for $N\neq 0$ and reproduces previous results for $N=0$.