English

A Note on Computations of D-brane Superpotential

High Energy Physics - Theory 2015-05-20 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1011.2347,
  title  = {A Note on Computations of D-brane Superpotential},
  author = {Hiroyuki Fuji and Shinsaku Nakayama and Masahide Shimizu and Hisao Suzuki},
  journal= {arXiv preprint arXiv:1011.2347},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T16:41:44.844Z