Novel Flows beteen N=2 Landau-Ginzburg Theories: New Directions in Moduli Space via c=0 Theories

TL;DR

This paper introduces a novel method for constructing flows between N=2 Landau-Ginzburg theories at fixed central charge, utilizing an enlarged moduli space with zero central charge theories, enabling symmetry-independent mirror pair constructions.

Contribution

The paper presents a new approach to connect Landau-Ginzburg theories via marginal flows using an expanded moduli space that includes zero central charge theories, avoiding reliance on specific symmetries.

Findings

Constructed flows between Landau-Ginzburg theories at fixed central charge.

Enabled symmetry-independent mirror pair constructions.

Provided a new framework for transitions between string vacua.

Abstract

A new method for constructing flows between distinct Landau-Ginzburg theories at fixed central charge is presented. The essential ingredient of the construction is an enlarged moduli space obtained by adding theories with zero central charge. The flows involve only marginal directions hence they can be applied to transitions between string vacua, in particular to the construction of mirror pairs of string ground states described by RG fixed points of N=2 supersymmetric Landau--Ginzburg theories. In contrast to previous methods this new construction of mirror theories does not depend on particular symmetries of the original theory.