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Degenerate and Irregular Topological Recursion

Year: 2025
Type: article
Abstract: We use the theory of $$x-y$$ 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.
DOI: 10.1007/s00220-025-05274-w
Institutions: Institute for Basic Science, University of Haifa, National Research University Higher School of Economics, Skolkovo Institute of Science and Technology, Kurchatov Institute, University of Amsterdam
Language: English
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4409186395
FWCI: 4.979
Cites: 30
Cited by: 7
Related to: 10