The Six-Vertex Model with a Non-Standard Boundary Condition

التفاصيل البيبلوغرافية
العنوان: The Six-Vertex Model with a Non-Standard Boundary Condition
المؤلفون: Doležálek, Matěj, Raška, Martin, Sgallová, Ester, Stucky, Eric Nathan, Zindulka, Mikuláš
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05A15, 05A19, 15B35, 82B20, 82B23
الوصف: We consider the enumeration of states in the Brubaker-Bump-Friedberg six-vertex model, whose boundary conditions are determined by an integer partition. In general, we find the number of states is a polynomial in the largest part of the partition. By explicating this technique, we also enumerate the states completely for hook shapes and staircases.
Comment: 11 pages, 9 figures, comments are welcome!
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.05281
رقم الأكسشن: edsarx.2310.05281
قاعدة البيانات: arXiv