Dubrovin–Frobenius manifolds associated with Bn and the constrained KP hierarchy-Reference-Cited by-同舟云学术

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

Published:2023-05-01 Issue:5 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Ma Shilin¹^ORCID,Zuo Dafeng²^ORCID

Affiliation:

1. School of Mathematical Science, Tsinghua University 1 , Beijing 100084, China

2. School of Mathematical Science, University of Science and Technology of China 2 , Hefei 230026, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0142578/17148118/053501_1_5.0142578.pdf

Reference8 articles.

1. A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of Bn;Sel. Math. New Ser.,2023

2. Differential geometry of the space of orbits of a Coxeter group,1998

3. Frobenius manifolds associated to Bl and Dl, revisited;Int. Math. Res. Not.

4. M. Bertola , “Jacobi groups, Jacobi forms and their applications,” Ph.D. dissertation (SISSA, Italy, 1999).

5. Frobenius manifold structure on orbit space of Jacobi groups; Part I;Differ. Geom. Appl.,2000

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