Galilean symmetry of the KdV hierarchy

Fuente: arXiv
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Autores principales: Xu, Jianghao, Yang, Di
Formato: Preprint
Publicado: 2024
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author Xu, Jianghao
Yang, Di
author_facet Xu, Jianghao
Yang, Di
contents By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean symmetry of the KdV hierarchy. As an application, we establish an explicit relationship between the non-abelian Born--Infeld partition function and the generalized Brézin--Gross--Witten partition function.
format Preprint
id arxiv_https___arxiv_org_abs_2403_04631
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Galilean symmetry of the KdV hierarchy
Xu, Jianghao
Yang, Di
Mathematical Physics
Algebraic Geometry
Exactly Solvable and Integrable Systems
By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean symmetry of the KdV hierarchy. As an application, we establish an explicit relationship between the non-abelian Born--Infeld partition function and the generalized Brézin--Gross--Witten partition function.
title Galilean symmetry of the KdV hierarchy
topic Mathematical Physics
Algebraic Geometry
Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2403.04631