Arctic curves of the T-system with Slanted Initial Data ...

• Main Authors: Di Francesco, Philippe, Vu, Hieu Trung
• Format: Report
• Language: unknown
• Published: arXiv 2024
• Subjects: Mathematical Physics math-ph; Statistical Mechanics cond-mat.stat-mech; Combinatorics math.CO; FOS Physical sciences; FOS Mathematics; Arctic; Garrido
• Online Access: https://dx.doi.org/10.48550/arxiv.2403.02479; https://arxiv.org/abs/2403.02479

We study the T-system of type $A_\infty$, also known as the octahedron recurrence/equation, viewed as a 2+1-dimensional discrete evolution equation. Generalizing the study of [P. Di Francesco and R. Soto-Garrido. Arctic curves of the octahedron equation. J. Phys. A, 47(28):285204, 34, 2014], we cons...