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Genus zero Gopakumar-Vafa invariants from open strings

par Collinucci, Andrés ;Sangiovanni, Andrea;Valandro, Roberto
Référence The journal of high energy physics (Online), 2021, 9, 59
Publication Publié, 2021-09-01

Article révisé par les pairs

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Résumé :

We propose a new way to compute the genus zero Gopakumar-Vafa invariants for two families of non-toric non-compact Calabi-Yau threefolds that admit simple flops: Reid’s Pagodas, and Laufer’s examples. We exploit the duality between M-theory on these threefolds, and IIA string theory with D6-branes and O6-planes. From this perspective, the GV invariants are detected as five-dimensional open string zero modes. We propose a definition for genus zero GV invariants for threefolds that do not admit small crepant resolutions. We find that in most cases, non-geometric T-brane data is required in order to fully specify the invariants.