Degenerate and irregular topological recursion

التفاصيل البيبلوغرافية
العنوان: Degenerate and irregular topological recursion
المؤلفون: Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
سنة النشر: 2024
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics, High Energy Physics - Theory, Mathematics - Algebraic Geometry, Mathematics - Combinatorics
الوصف: We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new definition coincides with the original topological recursion of Chekhov-Eynard-Orantin in the regular case and allows, in particular, to get meaningful answers in a variety of irregular and degenerate situations.
Comment: v2: 29 pages, a section on KP integrability is added
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.02608
رقم الانضمام: edsarx.2408.02608
قاعدة البيانات: arXiv