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D-branes, surface operators, and ADHM quiver representations

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arxiv 1012.1826 v3 pith:4REQ3S6H submitted 2010-12-08 hep-th math.AG

D-branes, surface operators, and ADHM quiver representations

classification hep-th math.AG
keywords modelmoduliquiverspacedimensionaloperatorsrepresentationssurface
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A supersymmetric quantum mechanical model is constructed for BPS states bound to surface operators in five dimensional SU(r) gauge theories using D-brane engineering. This model represents the effective action of a certain D2-brane configuration, and is naturally obtained by dimensional reduction of a quiver $(0,2)$ gauged linear sigma model. In a special stability chamber, the resulting moduli space of quiver representations is shown to be virtually smooth and isomorphic to a moduli space of framed quotients on the projective plane. A precise conjecture relating a K-theoretic partition function of this moduli space to refined open string invariants of toric lagrangian branes is formulated for conifold and local P^1 x P^1 geometries.

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