Work

Genus zero Gopakumar-Vafa invariants from open strings

Year: 2021
Type: article
Abstract: 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.
Language: English
Open Access status: diamond
OpenAlex ID: W3158434867
FWCI: 0.592
Cites: 51
Cited by: 17
Related to: 10