Type II/F-theory superpotentials with several deformations and \( \mathcal{N} = 1 \) mirror symmetry
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Publication:466631
DOI10.1007/JHEP06(2011)103zbMATH Open1298.81225arXiv1010.0977OpenAlexW1544323294MaRDI QIDQ466631
Author name not available (Why is that?)
Publication date: 27 October 2014
Published in: (Search for Journal in Brave)
Abstract: We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations. The relative cohomology group associated with the brane defines a generalized hypergeometric GKZ system which determines the off-shell superpotential and its analytic properties under deformation. Explicit expressions for the N=1 superpotential for families of type II/F-theory compactifications are obtained for a list of multi-parameter examples. Using the Hodge theoretic approach to open-string mirror symmetry, we obtain new predictions for integral disc invariants in the A model instanton expansion. We study the behavior of the brane vacua under extremal transitions between different Calabi-Yau spaces and observe that the web of Calabi-Yau vacua remains connected for a particular class of branes.
Full work available at URL: https://arxiv.org/abs/1010.0977
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