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June 2011 D-branes, surface operators, and ADHM quiver representations
Ugo Bruzzo, Wu-Yen Chuang, Duiliu-Emanuel Diaconescu, Marcos Jardim, G. Pan, Yi Zhang
Adv. Theor. Math. Phys. 15(3): 849-911 (June 2011).


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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Ugo Bruzzo. Wu-Yen Chuang. Duiliu-Emanuel Diaconescu. Marcos Jardim. G. Pan. Yi Zhang. "D-branes, surface operators, and ADHM quiver representations." Adv. Theor. Math. Phys. 15 (3) 849 - 911, June 2011.


Published: June 2011
First available in Project Euclid: 11 June 2012

zbMATH: 1261.81089
MathSciNet: MR2929691

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 3 • June 2011
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