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A Note on Computations of D-brane Superpotential

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arxiv 1011.2347 v2 pith:LN5DKRO6 submitted 2010-11-10 hep-th

A Note on Computations of D-brane Superpotential

classification hep-th
keywords approachchaindiscussintegralintegralsalgorithmanalysisanalytic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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