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Exponential BPS Graphs and D Brane Counting on Toric Calabi-Yau Threefolds: Part I
- Source :
- Communications in Mathematical Physics, 388
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
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.<br />Communications in Mathematical Physics, 388<br />ISSN:1432-0916<br />ISSN:0010-3616
- Subjects :
- High Energy Physics - Theory
Physics
Pure mathematics
Conifold
010308 nuclear & particles physics
010102 general mathematics
Quiver
FOS: Physical sciences
Statistical and Nonlinear Physics
01 natural sciences
Exponential function
High Energy Physics::Theory
Mathematics - Algebraic Geometry
Mathematics::Algebraic Geometry
High Energy Physics - Theory (hep-th)
Physics::Plasma Physics
0103 physical sciences
FOS: Mathematics
Calabi–Yau manifold
D-brane
0101 mathematics
Brane
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
Mathematical Physics
Subjects
Details
- ISSN :
- 14320916 and 00103616
- Volume :
- 388
- Database :
- OpenAIRE
- Journal :
- Communications in Mathematical Physics
- Accession number :
- edsair.doi.dedup.....d8491eba8ce5e6ba98ddd71631bfd79d