Year: 2021
Type: article
Abstract: We study BPS spectra of D-branes on local Calabi-Yau threefolds $$\mathcal {O}(-p)\oplus \mathcal {O}(p-2)\rightarrow \mathbb {P}^1$$ O ( - p ) ⊕ O ( p - 2 ) → P 1 with $$p=0,1$$ p = 0 , 1 , corresponding to $$\mathbb {C}^3/\mathbb {Z}_{2}$$ 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.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,690
Funders: National Science Foundation, National Centres of Competence in Research SwissMAP, European Commission, Trinity College Dublin, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, National Natural Science Foundation of China, Eidgenössische Technische Hochschule Zürich, Uniwersytet Warszawski, Université de Montpellier, National Center of Competence in Research Quantum Science and Technology, Fellowships for Young International Scientists, National Key Research and Development Program of China, Division of Mathematical Sciences, H2020 European Research Council, FP7 Ideas: European Research Council
OpenAlex ID: W2979835239