𝒲-Algebra constraints and topological recursion for AN-singularity (with an Appendix by Danilo Lewanski)

Source abstract

We derive a Bouchard–Eynard type topological recursion for the total descendant potential of [Formula: see text]-singularity. Our argument relies on a certain twisted representation of a Heisenberg Vertex Operator Algebra (VOA) constructed via the periods of [Formula: see text]-singularity. In particular, our approach allows us to prove that the topological recursion for the total descendant potential is equivalent to a certain generating set of [Formula: see text]-algebra constraints.