Degenerate and Irregular Topological Recursion
Abstract We use the theory of $$x-y$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo>-</mml:mo> <mml:mi>y</mml:mi> </mml:mrow> </mml:math> 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.
Authors
- Petr Dunin‐Barkowski (ORCID: https://orcid.org/0000-0003-1475-0534)
- Boris Sergeevich Bychkov (ORCID: https://orcid.org/0000-0002-4441-9343)
- A. Alexandrov (ORCID: https://orcid.org/0000-0002-8464-254X)
- Maxim Eduardovich Kazarian (ORCID: https://orcid.org/0000-0002-3928-8799)
- Sergey Viktorovich Shadrin (ORCID: https://orcid.org/0000-0002-4139-9754)
Institutions
- National Research University Higher School of Economics (RU)
- Skolkovo Institute of Science and Technology (RU)
- Kurchatov Institute (RU)
- Institute for Basic Science (KR)
- Carmel (Israel) (IL)
- University of Amsterdam (NL)
- Moscow Polytechnic University (RU)
- University of Haifa (IL)
Publication Details
- Journal
- Communications in Mathematical Physics
- Published
- 2025-04-04
- DOI
- https://doi.org/10.1007/s00220-025-05274-w
- Citations
- 5
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 20.44
Funders
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Israel Science Foundation
- National Research University Higher School of Economics
- Institute for Basic Science