Compactifications of 5d SCFTs with a twist

TL;DR

This paper investigates how compactifying 5d superconformal field theories with a discrete symmetry twist yields various 4d N=2 SCFTs, including known and new theories, with implications for dualities and global symmetries.

Contribution

It introduces a novel method of compactification with a discrete twist that produces new 4d SCFTs from 5d theories, expanding the landscape of known theories.

Findings

Identification of new 4d SCFTs with specific global symmetries.

Connection of these theories to dual gauge theory descriptions.

Discovery of a rank 1 F4 symmetry SCFT.

Abstract

We study the compactification of 5d SCFTs to 4d on a circle with a twist in a discrete global symmetry element of these SCFTs. We present evidence that this leads to various 4d N=2 isolated SCFTs. These include many known theories as well as seemingly new ones. The known theories include the recently discovered rank 1 SU(4) SCFT and its mass deformations. One application of the new SCFTs is in the dual descriptions of the 4d gauge theory SU(N)+1S+(N-2)F. Also interesting is the appearance of a theory with rank 1 and $F_4$ global symmetry.