# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1907.12339