Flat connections in open string mirror symmetry

被引:0
作者
Murad Alim
Michael Hecht
Hans Jockers
Peter Mayr
Adrian Mertens
Masoud Soroush
机构
[1] Harvard University,Jefferson Physical Laboratory
[2] LMU,Arnold Sommerfeld Center for Theoretical Physics
[3] Theresienstr. 37,Bethe Center for Theoretical Physics
[4] Physikalisches Institut Universität Bonn,undefined
来源
Journal of High Energy Physics | / 2012卷
关键词
Topological Strings; Differential and Algebraic Geometry;
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摘要
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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