Degenerate and Irregular Topological Recursion

IF 2.6 1区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Communications in Mathematical Physics Pub Date : 2025-04-04 DOI:10.1007/s00220-025-05274-w
A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin
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引用次数: 0

Abstract

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.

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退化和不规则拓扑递归
利用\(x-y\)对偶理论,提出了拓扑递归相关微分的一种新的定义/构造;我们称之为广义拓扑递归。这个新的定义与契诃夫-埃纳德-奥兰丁在规则情况下的原始拓扑递归一致,尤其允许在各种不规则和退化情况下得到有意义的答案。
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来源期刊
Communications in Mathematical Physics
Communications in Mathematical Physics 物理-物理:数学物理
CiteScore
4.70
自引率
8.30%
发文量
226
审稿时长
3-6 weeks
期刊介绍: The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.
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