Non-toric 5d SCFTs from Reid's Pagoda

TL;DR

This paper introduces new non-toric 5d SCFTs derived from Reid's Pagoda, including an infinite rank-1 family, using orbifold techniques and McKay correspondence, revealing intrinsically strongly coupled theories with novel properties.

Contribution

It constructs previously unknown non-toric 5d SCFTs from Reid's Pagoda, including an infinite family, and analyzes their BPS quivers, superpotentials, and unique vacuum sectors.

Findings

Discovery of an infinite family of rank-1 5d SCFTs.

Identification of a new 'Pagoda matter' sector affecting moduli.

Theories are intrinsically strongly coupled with no weak-coupling limit.

Abstract

We construct new families of non-toric 5d SCFTs via abelian orbifolds of the Reid Pagoda, including a surprising infinite family of rank-1 theories, that evade all known classifications. Using the McKay correspondence, we derive their BPS quivers and superpotentials. The hallmark of these theories is a novel sector we dub Pagoda matter, whose vacuum expectation values obstruct the Kaehler moduli. This mechanism freezes the gauge coupling to infinite value, precluding a weak-coupling limit and rendering the theories intrinsically strongly coupled. Finally, we interpret these results as 5d SCFTs deformed by non-constant flavor backgrounds.