[NTU-NCTS String Seminar] Dimer integrable model: Hamiltonians on a chess board
Title：Dimer integrable model: Hamiltonians on a chess board
Speaker：Norton Lee (IBS, Daejeon)
Date：2024/09/20 (Fri.)
Time：14:30
Time：14:30
Abstract：
Dimer model, also known as brane tiling or domino tiling, is a study of tessellation of an Euclidean plane. We consider a class of integrable systems proposed by Goncharov and Kenyon in correspondence with dimer models on a torus. These integrable systems are the generalization of the affine A-type relativistic Toda lattice. According to the correspondence every dimer model defines an integrable system, whose conserving Hamiltonians can be systematically calculated based on the perfect matching of the bipartite graph.
I will review some basic dimer models, then explain two ways of modifying known dimer graphs, generating new integrable systems. The quantization of these integrable systems can be solved by Bethe/Gauge correspondence with co-dimensional two defect introduced in 5d N=1 supersymmetric gauge theories.
I will review some basic dimer models, then explain two ways of modifying known dimer graphs, generating new integrable systems. The quantization of these integrable systems can be solved by Bethe/Gauge correspondence with co-dimensional two defect introduced in 5d N=1 supersymmetric gauge theories.
