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

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.