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BPS states and algebras from quivers

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arxiv hep-th/0006189 v3 pith:YRBABTXA submitted 2000-06-23 hep-th math.AG

Bartomeu Fiol , Marcos Marino This is my paper · ORCID
classification hep-thmath.AG
keywords modulipointsquiversstatesalgebraalgebrasarbitraryaspects
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We discuss several aspects of D-brane moduli spaces and BPS spectra near orbifold points. We give a procedure to determine the decay products on a line of marginal stability, and we define the algebra of BPS states in terms of quivers. These issues are illustrated in detail in the case of type IIA theory on C^2/Z_N. We also show that many of these results can be extended to arbitrary points in the compactification moduli space using Pi-stability.

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  1. 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.

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