Factorization and Discrete States in C=1 Superliouville Theory

TL;DR

This paper investigates the discrete state structure in c=1 superliouville theory coupled to 2D supergravity, revealing algebraic organization and factorization properties of scattering amplitudes.

Contribution

It identifies and constructs discrete states and vertex operators in superliouville theory, showing their organization into SU(2) multiplets and analyzing their algebraic structure.

Findings

Discrete states form SU(2) multiplets in both sectors

Factorization properties help identify discrete states

Algebra of states computed in null cosmological constant limit

Abstract

We study the discrete state structure of $\hat c=1$ superconformal matter coupled to 2-D supergravity. Factorization properties of scattering amplitudes are used to identify these states and to construct the corresponding vertex operators. For both Neveu-Schwarz and Ramond sectors these states are shown to be organized in SU(2) multiplets. The algebra generated by the discrete states is computed in the limit of null cosmological constant.