Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies

2026/08/01 by Xavier Blot, Guido Carlet, Dimitrios Makris +1
Mathematics · Physics and Astronomy · #math.AG #hep-th #math-ph #math.MP #nlin.SI

paper · pdf

17 pages

arxiv created 2026/08/01 · arxiv updated 2026/08/04

Abstract

We prove a conjecture of Dubrovin, Liu, Yang, and Zhang that states that the Poisson bracket of the Dubrovin-Zhang hierarchy of a rank-one cohomological field theory is constant if and only if it is given by the triple Hodge class with the parameters satisfying the Calabi-Yau condition.

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