D-branes, surface operators, and ADHM quiver representations
Abstract
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 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.
Keywords
Cite
@article{arxiv.1012.1826,
title = {D-branes, surface operators, and ADHM quiver representations},
author = {U. Bruzzo and W. -y. Chuang and D. -E. Diaconescu and M. Jardim and G. Pan and Y. Zhang},
journal= {arXiv preprint arXiv:1012.1826},
year = {2018}
}
Comments
45 pages, v2: minor corrections; v3 correction: claim of smoothness replaced with virtual smoothness. main results for partition functions unchanged