Non-toric 5d SCFTs from Reid's Pagoda

TL;DR

This work extends the landscape of 5d SCFTs beyond toric and weakly coupled regimes by constructing non-toric theories via abelian orbifolds of Reid’s Pagoda. Using the McKay correspondence, the authors derive explicit BPS quivers and superpotentials, revealing a novel Pagoda-matter sector whose VEVs freeze the Kahler modulus and render the origin intrinsically strongly coupled. They interpret these theories as deformations of toric orbifolds by position-dependent flavor backgrounds, with localized matter residing on Pagodina curves and controlled by higher-order superpotentials. The paper also generalizes the construction to broader abelian orbifolds, yielding infinite families of new 5d SCFTs with varied rank and flavor content, including conformal-matter regimes. Overall, the results significantly expand the known non-toric 5d SCFTs and illuminate how flavor-background deformations can shape strong coupling dynamics.

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.

Figures (10)

• Figure 1: Abelian Klebanov-Witten quiver.
• Figure 2: The D0-brane quiver of the Reid Pagoda.
• Figure 3: The Quiver diagram transition. Bold symbols denote flavor doublets. Notation: $\boldsymbol{\phi} \equiv (\phi_1, \phi_2)$ represents an $SU(2)$ flavor doublet.
• Figure 4: Subquiver with $\mathbb{F}_2$ as its moduli space.
• Figure 5: Quiver after Higgsing.