2026/01/28 by Minsung Kho, Seong-Jin Lee, Rak-Kyeong Seong · 1 voice
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th #math-ph #math.AG
paper · pdf · doi:10.1103/j19n-t1ks
arxiv published 2026/01/28 · arxiv updated 2026/01/28 · openalex publication_date 2026/04/22 · openalex created_date 2026/04/23 · openalex updated_date 2026/08/01
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.