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arXiv · 2601.20936

Quiver-Invariant Dualities between Brane Tilings

Minsung Kho·Seong-Jin Lee·Rak-Kyeong Seong
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Abstract

We study pairs of 4d N=1 supersymmetric gauge theories that share the same vacuum moduli space and the same chiral field content, encoded by a common quiver, but differ in their superpotentials. These theories arise as worldvolume theories on a D3-brane probing a toric Calabi-Yau 3-fold and admit a description in terms of bipartite graphs on a 2-torus, known as brane tilings. Using an explicit example, we show that the correspondence is realized by a single `tilting' mutation along the diagonals of hexagonal faces in the brane tiling, which is equivalent to a specific sequence of Seiberg dualities performed at distinct gauge nodes in the quiver.

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Minsung Kho, Seong-Jin Lee, Rak-Kyeong Seong. 2026-01-28. Quiver-Invariant Dualities between Brane Tilings. https://doi.org/10.1103/j19n-t1ks

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