Exponential BPS Graphs and D Brane Counting on Toric Calabi-Yau Threefolds: Part I
Open access
Date
2021Type
- Journal Article
Abstract
We study BPS spectra of D-branes on local Calabi-Yau threefolds O(-p)circle plus O(p-2) -> P-1 with p = 0,1, corresponding to C-3/Z(2) and the resolved conifold. Nonabelianization for exponential networks is applied to compute directly unframed BPS indices counting states with D2 and D0 brane charges. Known results on these BPS spectra are correctly reproduced by computing new types of BPS invariants of 3d-5d BPS states, encoded by nonabelianization, through their wall-crossing. We also develop the notion of exponential BPS graphs for the simplest toric examples, and show that they encode both the quiver and the potential associated to the Calabi-Yau via geometric engineering. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000512877Publication status
publishedExternal links
Journal / series
Communications in Mathematical PhysicsVolume
Pages / Article No.
Publisher
SpringerOrganisational unit
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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