Equivariant topological strings on fivefolds (Yannik SCHULER, ETH Zurich)

04.12.2025 14:00

In joint work with Andrea Brini, we recently proposed a formulation of the A-model refined topological string on a Calabi-Yau threefold X in terms of the equivariant topological string on the fivefold X x C^2. We validated anticipated features of our proposal such as integrality of refined Gopakumar-Vafa invariants in representative examples. I will report on increasing evidence that the last mentioned Gopakumar-Vafa integrality conjecturally generalises to equivariant topological strings on arbitrary Calabi-Yau fivefolds. I will illustrate the conjecture through explicit case studies of toric targets, explain how the original (unrefined) topological vertex can be used to compute refined amplitudes and try to motivate my conjecture through an anticipated link to the index of M2-branes.

Lieu

Conseil Général 7-9, Room 1-05, Séminaire Physique Mathématique

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