Quantized six-vertex model on a torus

Tuesday 1 Apr 2025, 17:30 → 19:00 Asia/Tokyo

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Date: April 1st (Tue), 17:30 (JST)
Speaker: Junya Yagi (Yau Center, Tsinghua University) 
Title: Quantized six-vertex model on a torus

Abstract: The six-vertex model is arguably the most famous 2D integrable lattice model. Less known is the fact that the model has a 3D origin. In this talk I will discuss the quantization of the six-vertex model, introduced by Kuniba, Matsuike and Yoneyama in 2022 generalizing earlier work of Bazhanov, Mangazeev and Sergeev. The quantized six-vertex model is a 3D integrable lattice model, which has a remarkable property that commuting layer transfer matrices can be defined not only for square lattices but also for more general "admissible" graphs on a torus. Time permitting, I will also explain how the model is related to dimer models, supersymmetric gauge theories and string theory.