5 papers
Integrable Systems for Generalized Toric Polygons and Higgsed 5d N=1 Theories
Minsung Kho, Kimyeong Lee, Norton Lee +1
The interplay between toric Calabi-Yau 3-folds, dimer integrable systems, and 5-dimensional quantum field theories has proved fruitful. We extend this framework to generalized tori…
Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
Minsung Kho, Norton Lee, Rak-Kyeong Seong
Brane tilings are bipartite periodic graphs on the 2-torus and realize a large family of 4d N=1 supersymmetric gauge theories corresponding to toric Calabi-Yau 3-folds. We present…
Quiver-Invariant Dualities between Brane Tilings
Minsung Kho, Seong-Jin Lee, Rak-Kyeong Seong
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 su…
Birational Transformations on Dimer Integrable Systems
Minsung Kho, Norton Lee, Rak-Kyeong Seong
We show that when two toric Calabi-Yau 3-folds and their corresponding toric varieties are related by a birational transformation, they are associated with a pair of dimer models o…
Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds
Dongwook Ghim, Minsung Kho, Rak-Kyeong Seong
We show that a family of birational transformations that relate toric Fano 3-folds defined by reflexive lattice polytopes can be identified with mass deformations of corresponding…