Bruzzo, UgoDiaconescu, Duiliu-EmanuelYardim, M.Pan, G.Zhang, Y.Chuang Wu-yen2011-09-152011-09-152011-01https://openscience.sissa.it/handle/1963/413345 pages, v2: minor correctionsA 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 P^1 x P^1 geometries.enPreprint