Remarks on quiver gauge theories from open topological string theory

Details Remarks on quiver gauge theories from open topological string theory Remarks on quiver gauge theories from open topological string theory

2009-12-23

arxiv.org/abs/0912.4699v4

JHEP 1003:129,2010

Physics

High Energy Physics

High Energy Physics - Theory

26 pages; v2: references added, exposition improved, example expanded; v3: minor changes; v4: small changes, corrected a mista

Scientific paper

10.1007/JHEP03(2010)129

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.

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