Abstract: |
The 6-vertex model is one of the most famous integrable 2D lattice models and appears in many different quantum field theories, such as 2D N=(2,2) gauge theories, 4D N=2 gauge theories and 4D Chern-Simons theory. Less known is that the 6-vertex model arises from an integrable 3D lattice model by reduction on a circle. In my previous work with Kevin Costello, we gave a unified understanding to the above-mentioned appearances of the 6-vertex model using branes and string dualities. In this talk, I will explain the construction of the 3D lattice model using branes in M-theory, emphasizing the role played by a structure of TQFT with defects and extra dimensions. |