Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons

This paper presents a complete classification of dimer integrable systems associated with the 16 reflexive polygons, detailing their Hamiltonian structures and spectral curves while identifying 16 birational equivalences that group them into five distinct classes and demonstrate how brane tiling deformations preserve key moduli space invariants.

Minsung Kho, Norton Lee, Rak-Kyeong Seong2026-03-02⚛️ hep-th