Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-13
Physics
High Energy Physics
High Energy Physics - Theory
harvmac, 35 pages (b), 2 figures; v2: typos & references corrected
Scientific paper
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.
Lerche Wolfgang
Mayr Peter
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