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On N=1 Mirror Symmetry for Open Type II Strings
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We study the open string extension of the mirror map for N=1 supersymmetric type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition is given in terms of a system of differential equations that annihilate certain period and chain integrals. The solutions describe the flat coordinates on the N=1 parameter space, and the exact disc instanton corrected superpotential on the D-brane world-volume. A gauged linear sigma model for the combined open-closed string system is also given. It allows to use methods of toric geometry to describe D-brane phase transitions and the N=1 K\"ahler cone. Applications to a variety of D-brane geometries are described in some detail.
Forward citations
Cited by 2 Pith papers
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Hodge-theoretic Open/Closed Correspondence
The relative periods and mixed Hodge structures of an open toric Calabi-Yau 3-orbifold with a brane agree, up to a Tate twist, with the periods and mixed Hodge structures of a closed toric Calabi-Yau 4-orbifold.
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Quantum obstructions for $N=1$ infinite distance limits -- Part I: $g_s$ obstructions
Non-perturbative g_s corrections obstruct perturbative Type IIB descriptions and can remove classical infinite distance degenerations in asymptotic regions of the complex structure moduli space.
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