BPS Wall Crossing and Topological Strings

Abstract

By embedding N=2 gauge theories in string theory and utilizing string dualities we map the counting of BPS states with arbitrary electric and magnetic charges to computations of an A-model topological string on an associated geometry constructed from the data of the SW curve. We show how the conjecture of Kontsevich and Soibelman regarding wall crossing, as well as a more refined version which captures the spin content of BPS states, is a natural consequence. Chern-Simons theory realized on A-branes and a twistorial construction play key roles.

18 pages, additional references

References in corpus (4)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• New string vacua from twistor spaces
• Topological sigma-models with H-flux and twisted generalized complex manifolds
• Non-perturbative effects and wall-crossing from topological strings

Cited by in corpus (12)

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• Spectral Networks and Snakes
• 2d Wall-Crossing, R-twisting, and a Supersymmetric Index
• BPS spectrum, wall crossing and quantum dilogarithm identity
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• $Y$ systems, $Q$ systems, and 4D $\mathcal{N}=2$ supersymmetric QFT
• Four-dimensional N=2 Field Theory and Physical Mathematics
• Tangles, Generalized Reidemeister Moves, and Three-Dimensional Mirror Symmetry