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On N=1 Mirror Symmetry for Open Type II Strings

W. Lerche·P. Mayr
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Abstract

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 Kähler cone. Applications to a variety of D-brane geometries are described in some detail.

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W. Lerche, P. Mayr. 2002-03-19. On N=1 Mirror Symmetry for Open Type II Strings. https://arxiv.org/abs/hep-th/0111113

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