Dimensional reduction of quiver algebras

Determine how the double quiver algebras for four-supercharge theories and two-supercharge theories are related under dimensional reduction from quiver theories for Calabi–Yau threefolds to those for \(\mathrm{CY}_3\times\mathbb{C}\).

Background

The paper compares double quiver algebras associated with four-supercharge and two-supercharge theories and notes that the latter can arise by dimensional reduction of the former. Although the algebraic defining relations have parallel forms, the behavior of the algebras under dimensional reduction is not established.