Wall-crossing of D4-D2-D0 and flop of the conifold
arXiv:1007.2731 · doi:10.1007/JHEP09(2010)026
Abstract
We discuss the wall-crossing of the BPS bound states of a non-compact holomorphic D4-brane with D2 and D0-branes on the conifold. We use the Kontsevich-Soibelman wall-crossing formula and analyze the BPS degeneracy in various chambers. In particular we obtain a relation between BPS degeneracies in two limiting attractor chambers related by a flop transition. Our result is consistent with known results and predicts BPS degeneracies in all chambers.
15 pages, 4 figures; v2: typos corrected; v3: minor changes, a reference added, version to be published in JHEP
References in corpus (16)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- Non-commutative Donaldson-Thomas theory and the conifold
- Crystal Melting and Toric Calabi-Yau Manifolds
- Two Dimensional Yang-Mills, Black Holes and Topological Strings
- Wall crossing in local Calabi Yau manifolds
- Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
- BPS Wall Crossing and Topological Strings
- Crossing the Wall: Branes vs. Bundles
- Wall Crossing, Quivers and Crystals
- Non-perturbative effects and wall-crossing from topological strings
- The mixed black hole partition function for the STU model
- On walls of marginal stability in N=2 string theories
- Crystals and intersecting branes
- Ample D4-D2-D0 Decay
- Wall Crossing Phenomenology of Orientifolds
- Fragmenting D4 branes and coupled q-deformed Yang Mills
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- Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities
- Statistical model and BPS D4-D2-D0 counting
- Multiple D4-D2-D0 on the Conifold and Wall-crossing with the Flop
- The Origin of Calabi-Yau Crystals in BPS States Counting
- Wall-crossing, open BPS counting and matrix models
- Crystal Melting, BPS Quivers and Plethystics
- A note on statistical model for BPS D4-D2-D0 states
- Aspects of 5d Seiberg-Witten Theories on
- Flops and the S-duality conjecture
- Evidence for Duality of Conifold from Fundamental String
- BPS states, crystals and matrices
- Affine SU(N) algebra from wall-crossings
- On Some Computations of Higher Rank Refined Donaldson-Thomas Invariants
- Wall-crossing, Toric divisor and Seiberg duality