Ground ring for the 2D NSR string

TL;DR

This paper explores the BRST quantization and ring structure of the 2D N=1 superstring coupled to superconformal matter, analyzing physical states and symmetries in the conformal gauge.

Contribution

It provides a detailed analysis of the BRST cohomology and ring structure for the 2D superstring with c=1, extending understanding of its symmetry algebra.

Findings

Computed physical states via BRST cohomology

Analyzed the ring structure and symmetry algebra for the 2D superstring

Clarified the role of superconformal matter with c bf 1

Abstract

We discuss the BSRT quantization of 2D $N=1$ supergravity coupled to superconformal matter with $\hat{c} \leq 1$ in the conformal gauge. The physical states are computed as BRST cohomology. In particular, we consider the ring structure and associated symmetry algebra for the 2D superstring ($\hat{c} = 1$).