Discrete physical states and correction terms in the Supersymmetric c=1 Model of String Theory

TL;DR

This paper explores the supersymmetric c=1 string theory model, revealing how ghost cohomologies expand the spectrum and generate new symmetries, linking 2D supergravity with higher-dimensional theories, and detailing BRST-invariant vertex operator construction.

Contribution

It introduces a detailed analysis of ghost cohomologies' role in spectrum expansion and symmetry generation in the supersymmetric c=1 model, with explicit correction term computations.

Findings

Ghost cohomologies expand the spectrum of states.

New symmetries are generated by ghost cohomologies.

Explicit correction terms for BRST invariance are provided.

Abstract

In this article, we investigate the supersymmetric c=1 model of superstring theory and demonstrate how the spectrum of states is expanded and new symmetries of the theory are generated by the existence of ghost cohomologies. As a result, we establish significant connections between two-dimensional supergravity and physical theories in higher dimensions. Additionally, we provide a comprehensive guide for constructing BRST-invariant and nontrivial vertex operators and carry out explicit computations to determine the correction terms needed to maintain BRST invariance of the corresponding currents.