Flat Connections in Open String Mirror Symmetry

Details Flat Connections in Open String Mirror Symmetry Flat Connections in Open String Mirror Symmetry

2011-10-29

arxiv.org/abs/1110.6522v1

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 1 figure

Scientific paper

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.

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