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Galilean symmetry of the KdV hierarchy

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arxiv 2403.04631 v1 pith:HVFGTDTV submitted 2024-03-07 math-ph math.AGmath.MPnlin.SI

Jianghao Xu , Di Yang This is my paper · ORCID
classification math-phmath.AGmath.MPnlin.SI
keywords galileanhierarchysymmetryexplicitfunctionpartitionapplicationborn--infeld
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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 Br\'ezin--Gross--Witten partition function.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Combinatorics and large genus asymptotics of the Br\'ezin--Gross--Witten numbers

    math-ph 2024-12 accept novelty 6.0 of 10

    The normalized Brézin-Gross-Witten numbers satisfy C(d) = 1/π + O(1/g(d)) uniformly in the number of marked points, with a polynomial structure in the large genus expansion.

  2. Super volumes and KdV tau functions

    math.AG 2024-12 conditional novelty 6.0 of 10

    The generalized BGW KdV tau function is identified as a generating function for spin class intersection numbers with Ramond punctures, yielding a proof of the Stanford-Witten recursion for the deformed super volumes.

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