Arctic curves of the reflecting boundary six vertex and of the twenty vertex models

• Main Author: Di Francesco, Philippe
• Other Authors: Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), The Morris and Gertrude Fine endowment, the NSF Grant DMS18-02044, and the NSF RTG Grant DMS19-37241
• Format: Article in Journal/Newspaper
• Language: English
• Published: HAL CCSD 2021
• Subjects: integrable lattice models; arctic phenomenon; domino tilings; six vertex model; lattice paths; [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]; Arctic; Quadrangle
• Online Access: https://hal.science/hal-04216441; https://hal.science/hal-04216441/document; https://hal.science/hal-04216441/file/Di_Francesco_2021_J._Phys._A%20_Math._Theor._54_355201.pdf; https://doi.org/10.1088/1751-8121/ac17a6

International audience We apply the tangent method of Colomo and Sportiello to predict the arctic curves of the six vertex model with reflecting (U-turn) boundary and of the related twenty vertex model with suitable domain wall boundary conditions on a quadrangle, both in their disordered phase.