A Note on Computations of D-brane Superpotential

Details A Note on Computations of D-brane Superpotential A Note on Computations of D-brane Superpotential

2010-11-10

arxiv.org/abs/1011.2347v2

Physics

High Energy Physics

High Energy Physics - Theory

61 pages, 5 figures; v2: typos corrected, minor changes, references added

Scientific paper

We develop some computational methods for the integrals over the 3-chains on the compact Calabi-Yau 3-folds that plays a prominent role in the analysis of the topological B-model in the context of the open mirror symmetry. We discuss such 3-chain integrals in two approaches. In the first approach, we provide a systematic algorithm to obtain the inhomogeneous Picard-Fuchs equations. In the second approach, we discuss the analytic continuation of the period integral to compute the 3-chain integral directly. The latter direct integration method is applicable for both on-shell and off-shell formalisms.

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