Advances in Theoretical and Mathematical Physics

D-branes, surface operators, and ADHM quiver representations

Ugo Bruzzo, Wu-Yen Chuang, Duiliu-Emanuel Diaconescu, Marcos Jardim, G. Pan, and Yi Zhang

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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 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 $\mathbb{P}^1 \times \mathbb{P}^1$ geometries.

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Adv. Theor. Math. Phys., Volume 15, Number 3 (2011), 849-911.

First available in Project Euclid: 11 June 2012

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Bruzzo, Ugo; Chuang, Wu-Yen; Diaconescu, Duiliu-Emanuel; Jardim, Marcos; Pan, G.; Zhang, Yi. D-branes, surface operators, and ADHM quiver representations. Adv. Theor. Math. Phys. 15 (2011), no. 3, 849--911.

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