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BPS Wall Crossing and Topological Strings

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arxiv 0910.2615 v2 pith:224KKNHA submitted 2009-10-14 hep-th math.AG

Sergio Cecotti , Cumrun Vafa This is my paper
classification hep-thmath.AG
keywords stringcrossingstatestheorytopologicalwalla-branesa-model
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. R-Twisting, Fibered Knots, and Gauge Theories

    hep-th 2026-07 conditional novelty 6.0 of 10

    R-twisting scales the R-symmetry circle angle by mn/(m+n), turning Argyres–Douglas Seiberg–Witten curves into mapping tori of (m,n) torus knots that label 3d gauge theories.

  2. Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper derives a tree-of-unlinkings formula for wild Donaldson-Thomas invariants of m-Kronecker quivers from wall-crossing identities rewritten through symmetric quivers and diagonalization.

  3. Weyl Mutations in Quiver Yangians

    hep-th 2026-01 conditional novelty 5.0 of 10

    Weyl group reflections act as Seiberg-like dualities on A_n quiver gauge theories, mapping stability chambers to each other while conjecturally leaving the quiver Yangian Y(sl_{n+1}) invariant.

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