Wall Crossing and M-theory

Abstract

We study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X. When X has no compact 4-cyles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X. The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kahler moduli space.

19 pages, 1 figure

References in corpus (11)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• Refined, Motivic, and Quantum
• Non-commutative Donaldson-Thomas theory and the conifold
• Crystal Melting and Toric Calabi-Yau Manifolds
• Wall crossing in local Calabi Yau manifolds
• M-theory and a Topological String Duality
• Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
• Emergent Calabi-Yau Geometry
• On the noncommutative Donaldson-Thomas invariants arising from brane tilings
• Computing a pyramid partition generating function with dimer shuffling

Cited by in corpus (38)

• Quantum Geometry of Refined Topological Strings
• Quiver Yangian from Crystal Melting
• Quivers, YBE and 3-manifolds
• Shifted Quiver Yangians and Representations from BPS Crystals
• Open BPS Wall Crossing and M-theory
• Wall Crossing, Quivers and Crystals
• Spectral Networks with Spin
• Exploring 5d BPS Spectra with Exponential Networks
• Mathematical structures of non-perturbative topological string theory: from GW to DT invariants
• Large N duality, lagrangian cycles, and algebraic knots
• BPS Graphs: From Spectral Networks to BPS Quivers
• Wall-crossing of D4-D2-D0 and flop of the conifold
• Wall Crossing As Seen By Matrix Models
• Non-perturbative effects and wall-crossing from topological strings
• Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
• Refined Black Hole Ensembles and Topological Strings
• More on topological vertex formalism for 5-brane webs with O5-plane
• Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions
• Gluing two affine Yangians of ${\mathfrak{gl}}_1$
• The Non-commutative Topological Vertex and Wall Crossing Phenomena
• The Origin of Calabi-Yau Crystals in BPS States Counting
• Wall Crossing Phenomenology of Orientifolds
• Crystal Melting, BPS Quivers and Plethystics
• On Supersymmetric Interface Defects, Brane Parallel Transport, Order-Disorder Transition and Homological Mirror Symmetry
• Wall-crossing formulas for framed objects
• Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes
• Wall-Crossing Effects on Quiver BPS Algebras
• Matrix models and stochastic growth in Donaldson-Thomas theory
• Evidence for Duality of Conifold from Fundamental String
• BPS states, crystals and matrices
• A String Dual for Partially Topological Chern-Simons-Matter Theories
• BPS state counting on singular varieties
• Tunnels Under Geometries (or Instantons Know Their Algebras)
• A comment on 4d and 5d BPS states
• Geometry and Combinatorics of Crystal Melting
• Refined Wall-Crossing, Free Fermions and Crystal Melting
• M theory and the Coulomb phase of higher rank DT invariants
• Weyl Mutations in Quiver Yangians