Author

Rak-Kyeong Seong

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Preprint Aug 2026

Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings

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 dual theories share an identical quiver and differ only in their superpotentials. We show that quiver-invariant dualities are realized by tilti...

Seong-Jin Lee, Rak-Kyeong Seong, Benjamin Suzzoni · 0 citations

#explainable ai Preprint Sep 2026

Diagnosing Inconsistencies in 4d N=1 Gauge Theories with Explainable AI

Brane tilings are bipartite graphs on a 2-torus that encode the Lagrangians of 4d N=1 supersymmetric gauge theories arising on D3-branes probing toric Calabi-Yau 3-folds. Among these bipartite graphs, only those that satisfy geometric consistency conditions correspond to well-behaved quantum field theories. We train a...

Seong-Jin Lee, Rak-Kyeong Seong · 0 citations

#graph neural networks Preprint Aug 2026

Learning Topological Features of $\widehat Z$-invariants

This paper initiates a systematic approach to handling mathematical data structured as (truncated) infinite $q-series, or equivalently, infinite series of integers, and demonstrates that neural networks can reliably extract essential topological information, such as homology class and underlying graph structure, direct...

Brandon Robinson, Shimal Harichurn, Fabian Ruehle et al. · 0 citations