A BRST Operator for non-critical W-Strings

TL;DR

This paper constructs a BRST operator for non-critical W_3-strings, explores their spectrum, and discusses the moduli space integration for spheres with up to five punctures.

Contribution

It introduces a formal BRST operator for non-critical W_3-strings and discusses the structure of their moduli space.

Findings

Constructed the BRST operator for non-critical W_3-strings

Analyzed the tachyon-like spectrum of these strings

Outlined the integral over W_3-moduli space for N-punctured spheres

Abstract

We construct the BRST operator for non-critical $W_3$-strings and discuss the tachyon-like spectrum. For $N$-punctured spheres with $N \leq 5$ we briefly describe a formal definition of the integral over $W_3$-moduli space.