Abstract

We develop some computational methods for the integrals over the 3-chains on the compact Calabi–Yau 3-folds that play 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 an 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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