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Cut-and-join operators in cohomological field theory and topological recursion

  • Alexander Alexandrov [1]
    1. [1] Center for Geometry and Physics, Institute for Basic Science (IBS), Korea
  • Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 3, 2024, págs. 1-44
  • Idioma: inglés
  • DOI: 10.1007/s00029-024-00933-7
  • Enlaces
  • Resumen

    • We construct a cubic cut-and-join operator description for the partition function of the Chekhov–Eynard–Orantin topological recursion for a local spectral curve with simple ramification points. In particular, this class contains partition functions of all semisimple cohomological field theories. The cut-and-join description leads to an algebraic version of topological recursion. For the same partition functions we also derive N families of the Virasoro constraints and prove that these constraints, supplemented by a deformed dimension constraint, imply the cut-and-join description.

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