Degenerate and irregular topological recursion

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 r...

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Bibliographic Details
Main Authors Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
Format Journal Article
LanguageEnglish
Published 05.08.2024
Subjects
Mathematics - Algebraic Geometry
Mathematics - Combinatorics
Mathematics - Mathematical Physics
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
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Summary: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.
Bibliography:MPIM-Bonn-2024
DOI:10.48550/arxiv.2408.02608