Tropical R and Tau Functions
Kuniba, Atsuo · Okado, Masato · Takagi, Taichiro · Yamada, Yasuhiko
Quantum Algebra
Mathematical Physics
Exactly Solvable and Integrable Systems
Primary 17B37, 37K30; Secondary 14E05
الأصل · EN
Tropical R is the birational map that intertwines products of geometric crystals and satisfies the Yang-Baxter equation. We show that the D⁽¹⁾ₙ tropical R introduced by the authors and its reduction to A⁽²⁾₂ₙ₋₁ and C⁽¹⁾ₙ are equivalent to a system of bilinear difference equations of Hirota type. Associated tropical vertex models admit solutions in terms of tau functions of the BKP and DKP hierarchies.
الترجمة العربية
لا توجد ترجمة عربية لهذا البحث بعد. كن أوّل من يطلبها: تستغرق ثوانيَ معدودة، وتُحفظ النتيجة لكل قارئ قادم.