Genus zero Gopakumar-Vafa invariants from open strings
arXiv:2104.14493 · doi:10.1007/JHEP09(2021)059
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.
arXiv comment31 pages
References in corpus (26)
- D-branes, Quivers, and ALE Instantons
- Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
- Phase Transitions In M-Theory And F-Theory
- The Topological Vertex
- Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
- A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
- T-Branes and Monodromy
- D-brane Deconstructions in IIB Orientifolds
- 5d Superconformal Field Theories and Graphs
- Coulomb and Higgs Branches from Canonical Singularities: Part 0
- Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups
- Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
- 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
- Classifying 5d SCFTs via 6d SCFTs: Arbitrary rank
- Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
- Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
- Noncommutative deformations and flops
- F-theory on singular spaces
- (5d RG-flow) Trees in the Tropical Rain Forest
- T-branes as branes within branes
- T-branes through 3d mirror symmetry
- Quivers from Matrix Factorizations
- High electric charges in M-theory from quiver varieties
- Geometric engineering on flops of length two
- Gopakumar-Vafa invariants do not determine flops
- Threefold Flops via Matrix Factorization
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- 5d Higgs Branches from M-theory on quasi-homogeneous cDV threefold singularities
- Systematics of perturbatively flat flux vacua
- Flops of any length, Gopakumar-Vafa invariants, and 5d Higgs Branches
- On holographic duals of certain isolated weighted Gorenstein cDV singularities