Defects and boundary RG flows in $\mathbb{C}/\mathbb{Z}_d$

TL;DR

This paper explores how topological defects in Landau-Ginzburg models encode information about renormalization group flows between non-compact orbifolds, providing a boundary perspective on bulk-induced RG flows.

Contribution

It demonstrates that topological defects accurately represent the RG flow between orbifold theories within the Landau-Ginzburg framework.

Findings

Defects encode RG flow information between orbifolds.

Defects implement bulk-induced RG flow on the boundary.

Topological defects serve as tools to study RG flows in non-compact models.

Abstract

We show that topological defects in the language of Landau-Ginzburg models carry information about the RG flow between the non-compact orbifolds $\mathbb{C}/\mathbb{Z}_d$. We show that such defects correctly implement the bulk-induced RG flow on the boundary.