Non-critical superstrings: a comparison between continuum and discrete approaches

Abstract

We review the relation between the matrix model and Liouville approaches to two-dimensional gravity as elaborated by Moore, Seiberg and Staudacher. Then, based on the supersymmetric Liouville formulation and the discrete eigenvalue model proposed by Alvarez-Gaumé, Itoyama, Mañes and Zadra, we extend the previous relation to the supersymmetric case. The minisuperspace approximation for the supersymmetric case is formulated, and the corresponding wave equation is found.

25 pages, plain tex, prep CERN-TH-7161/94

References in corpus (8)

• World Sheet and Space Time Physics in Two Dimensional (Super) String Theory
• Superloop Equations and Two Dimensional Supergravity
• Nonperturbative Solution of the Super-Virasoro Constraints
• Double Scaling Limit of the Supervirasoro Constraints
• Correlation functions in super Liouville theory
• Correlation functions of minimal models coupled to two dimensional quantum supergravity
• Integrable Superhierarchy of Discretized 2d Supergravity
• Some Correlation Functions of Minimal Superconformal Models Coupled to Supergravity

Cited by in corpus (6)

• Supereigenvalue Model and Dijkgraaf-Vafa Proposal
• Free field representations for the affine superalgebra sl(2|1)
• The Supereigenvalue Model in the Double-Scaling Limit
• Iterative Solution of the Supereigenvalue Model
• The Chiral Supereigenvalue Model
• $\mathcal{N}=1$ Super Topological Recursion