Physical States and Correction Terms of the Supersymmetric c = 1 Model

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 the BRST invariance of the corresponding currents.