ICTS:30040

Video URL

Arctic curves for vertex models

Arctic curves for vertex models

(2024). Arctic curves for vertex models. SciVideos. https://youtube.com/live/t53QogBKYdI

Arctic curves for vertex models. SciVideos, Oct. 28, 2024, https://youtube.com/live/t53QogBKYdI 

          @misc{ scivideos_ICTS:30040,
            doi = {},
            url = {https://youtube.com/live/t53QogBKYdI},
            author = {},
            keywords = {},
            language = {en},
            title = {Arctic curves for vertex models},
            publisher = {},
            year = {2024},
            month = {oct},
            note = {ICTS:30040 see, \url{https://scivideos.org/index.php/icts-tifr/30040}}
          }
Philippe Di Francesco
Talk numberICTS:30040
Source RepositoryICTS-TIFR
Source EventDiscrete integrable systems: difference equations, cluster algebras and probabi…
Collection

Abstract

Two-dimensional integrable lattice models that can be described in terms of (non-intersecting, possibly osculating) paths with suitable boundary conditions display the arctic phenomenon: the emergence of a sharp phase boundary between ordered cristalline phases (typically near the boundaries) and disordered liquid phases (away from them). We show how the so-called tangent method can be applied to models such as the 6 Vertex model or its triangular lattice variation the 20 Vertex model, to predict exact arctic curves. A number of companion combinatorial results are obtained, relating these problems to tiling problems of associated domains of the plane.