与Bn相关的Dubrovin-Frobenius流形和受限KP层次

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI:10.1063/5.0142578

Shilin Ma, Dafeng Zuo

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引用次数: 0

摘要

在本文中，我们将证明由Arsie等人构建的Coxeter群Bn的轨道空间上的Dubrovin-Frobenius预势。数学。与约束KP层次相关的Witten-Dijkgraaf-Verlinde-Verlinde (WDVV)方程的解一致。

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Dubrovin–Frobenius manifolds associated with Bn and the constrained KP hierarchy

In this paper, we will show that the Dubrovin–Frobenius prepotentials on the orbit space of the Coxeter group Bn constructed by Arsie et al. [Sel. Math. New Ser. 29, 1 (2023)] coincide with the solutions of Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations associated with the constrained KP hierarchy.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.