Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 4

Towards open string mirror symmetry for one-parameter Calabi-Yau hypersurfaces

Pages: 991 – 1075

DOI: http://dx.doi.org/10.4310/ATMP.2009.v13.n4.a3

Authors

Johanna Knapp

Emanuel Scheidegger

Abstract

This work is concerned with branes and differential equations for oneparameter 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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