Realizing IR theories by projections in the UV

TL;DR

This paper demonstrates how IR theories can be embedded within UV theories using projection defects in TQFTs, providing a new perspective on bulk RG flows and their defect representations.

Contribution

It introduces a method to represent IR theories within UV theories via codimension-one projection defects in TQFTs, applicable to Landau-Ginzburg models.

Findings

IR theories are fully realizable within UV theories using projection defects.

RG flows can be described through defect RG flows in the UV fixed point.

Matrix factorizations characterize defects in Landau-Ginzburg models.

Abstract

We study bulk RG flows in the context of TQFTs and show how IR theories can be entirely represented within the respective UV theories by means of codimension-one projection defects. What is more, RG flows of the bulk theory can be described in terms of RG flows of the codimension-one identity defect in the fixed UV bulk theory. We illustrate this in the example of RG flows between Landau-Ginzburg orbifold models, for which the respective defects can be described in terms of matrix factorizations.