Remarks on quiver gauge theories from open topological string theory
arXiv:0912.4699 · doi:10.1007/JHEP03(2010)129
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.
26 pages; v2: references added, exposition improved, example expanded; v3: minor changes; v4: small changes, corrected a mistake in example, all results are unaffected
References in corpus (22)
- Dimer models and toric diagrams
- Phases Of N=2 Theories In 1+1 Dimensions With Boundary
- Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications
- Opening Mirror Symmetry on the Quintic
- Dimer models and the special McKay correspondence
- Brane Tilings and Exceptional Collections
- Five-Brane Superpotentials and Heterotic/F-theory Duality
- Suspending Lefschetz fibrations, with an application to Local Mirror Symmetry
- Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
- D-branes and Normal Functions
- Calculations for Mirror Symmetry with D-branes
- The Geometry of D-Brane Superpotentials
- On moduli spaces of quiver representations associated with dimer models
- Mirror Symmetry for Toric Branes on Compact Hypersurfaces
- Crepant resolutions and brane tilings I: Toric realization
- Matrix factorisations and open topological string theory
- Topological conformal field theories and Calabi-Yau categories
- Dimer models and exceptional collections
- Crepant resolutions and brane tilings II: Tilting bundles
- Topological D-Branes and Commutative Algebra
- Sheaves on local Calabi-Yau varieties
- Generating the superpotential on a D-brane category: I