Flat Connections in Open String Mirror Symmetry
arXiv:1110.6522 · doi:10.1007/JHEP06(2012)138
Abstract
We study a flat connection defined on the open-closed deformation space of open string mirror symmetry for type II compactifications on Calabi-Yau threefolds with D-branes. We use flatness and integrability conditions to define distinguished flat coordinates and the superpotential function at an arbitrary point in the open-closed deformation space. Integrability conditions are given for concrete deformation spaces with several closed and open string deformations. We study explicit examples for expansions around different limit points, including orbifold Gromov-Witten invariants, and brane configurations with several brane moduli. In particular, the latter case covers stacks of parallel branes with non-Abelian symmetry.
38 pages, 1 figure, v2: references added
References in corpus (13)
- Remodeling the B-model
- Opening Mirror Symmetry on the Quintic
- Disk enumeration on the quintic 3-fold
- Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
- Calculations for Mirror Symmetry with D-branes
- Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
- Open topological strings and integrable hierarchies: Remodeling the A-model
- Mirror Symmetry for Toric Branes on Compact Hypersurfaces
- Fluxbrane Inflation
- D-brane Superpotentials: Geometric and Worldsheet Approaches
- Topological Strings and (Almost) Modular Forms
- Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
- Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds