Two-Dimensional String Theory, Topological Field Theories and the Deformed Matrix Model

TL;DR

This paper explores the $c=1$ string theory using topological field theories, introduces a new calculation method, and links the deformed matrix model to D-series Landau-Ginzburg superpotentials.

Contribution

It proposes a new prescription for calculations in $c=1$ string theory that aligns with the deformed matrix model and suggests a connection to D-series Landau-Ginzburg models.

Findings

New calculation prescription reproduces deformed matrix model results

Establishes a link between deformed matrix model and D-series Landau-Ginzburg superpotentials

Calculations performed for arbitrary genus

Abstract

In this paper the $c=1$ string theory is studied from the point of view of topological field theories. Calculations are done for arbitrary genus. A change in the prescription is proposed, which reproduces the results of the $1/x^2$ deformed matrix model. It is proposed that the deformed matrix model is related to a D-series Landau-Ginzburg superpotential.