Remarks on quiver gauge theories from open topological string theory
High Energy Physics - Theory
2012-03-13 v4 Algebraic Geometry
Abstract
We study effective quiver gauge theories arising from a stack of D3-branes on certain Calabi-Yau singularities. Our point of view is a first principle approach via open topological string theory. This means that we construct the natural A-infinity-structure of open string amplitudes in the associated D-brane category. Then we show that it precisely reproduces the results of the method of brane tilings, without having to resort to any effective field theory computations. In particular, we prove a general and simple formula for effective superpotentials.
Keywords
Cite
@article{arxiv.0912.4699,
title = {Remarks on quiver gauge theories from open topological string theory},
author = {Nils Carqueville and Alexander Quintero Velez},
journal= {arXiv preprint arXiv:0912.4699},
year = {2012}
}
Comments
26 pages; v2: references added, exposition improved, example expanded; v3: minor changes; v4: small changes, corrected a mistake in example, all results are unaffected