Towards Open String Mirror Symmetry for One-Parameter Calabi-Yau Hypersurfaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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68+1 pages, 4 figures, v2: references added, typos corrected

Scientific paper

This work is concerned with branes and differential equations for one-parameter Calabi-Yau hypersurfaces in weighted projective spaces. For a certain class of B-branes we derive the inhomogeneous Picard--Fuchs equations satisfied by the brane superpotential. In this way we arrive at a prediction for the real BPS invariants for holomorphic maps of worldsheets with low Euler characteristics, ending on the mirror A-branes.

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