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

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.