Relevant deformations and c-extremization

TL;DR

This paper studies RG flows from (0,2) SCFTs triggered by relevant deformations, showing the preservation of N=2 super-Kac-Moody algebra and deriving IR R-symmetry via c-extremization in certain flows.

Contribution

It demonstrates the preservation of N=2 super-Kac-Moody algebra during RG flows and provides a method to determine IR R-symmetry by c-extremization.

Findings

N=2 super-Kac-Moody algebra remains intact during flows.

IR R-symmetry can be determined by c-extremization in flows without accidental symmetries.

The IR central charge is maximized by the derived R-symmetry.

Abstract

We consider RG flows obtained by a relevant deformation from unitary and compact two-dimensional (0,2) SCFTs. We point out that an N=2 super-Kac-Moody algebra present in the UV is preserved by the flow and does not mix with the R-current. On the other hand, a direct sum of N=2 algebras in the UV theory leads to a few complications in determining the IR R-symmetry; nevertheless, in flows without accidental IR symmetries, we determine the IR R-symmetry and show that it maximizes the IR central charge.