English

Dubrovin's superpotential as a global spectral curve

Mathematical Physics 2019-05-16 v2 Algebraic Geometry math.MP

Abstract

We apply the spectral curve topological recursion to Dubrovin's universal Landau-Ginzburg superpotential associated to a semi-simple point of any conformal Frobenius manifold. We show that under some conditions the expansion of the correlation differentials reproduces the cohomological field theory associated with the same point of the initial Frobenius manifold.

Keywords

Cite

@article{arxiv.1509.06954,
  title  = {Dubrovin's superpotential as a global spectral curve},
  author = {Petr Dunin-Barkowski and Paul Norbury and Nicolas Orantin and Alexandr Popolitov and Sergey Shadrin},
  journal= {arXiv preprint arXiv:1509.06954},
  year   = {2019}
}