13 papers
Learning Topological Features of -invariants
Brandon Robinson, Shimal Harichurn, Fabian Ruehle +3
Machine learning and data analysis techniques have recently emerged as powerful tools for identifying patterns and formulating conjectures in mathematical research, most notably in…
Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings
Seong-Jin Lee, Rak-Kyeong Seong, Benjamin Suzzoni
Quiver-invariant dualities relate distinct 4d N=1 supersymmetric gauge theories that arise as worldvolume theories on a D3-brane probing the same toric Calabi-Yau 3-fold. These dua…
Abelian Orbifolds for Brane Brick Models
Juno Kwon, Rak-Kyeong Seong
We present a systematic procedure for constructing brane brick models corresponding to abelian orbifolds of toric Calabi-Yau 4-folds, extending the orbifold construction beyond the…
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…