Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry

Murad Alim; Michael Hecht; Hans Jockers; Peter Mayr; Adrian Mertens; Masoud Soroush

doi:10.1007/JHEP06(2011)103

Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry

Murad Alim, Michael Hecht, Hans Jockers, Peter Mayr, Adrian Mertens, Masoud Soroush

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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.

Original language	English
Article number	103
Journal	Journal of High Energy Physics
Volume	2011
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2011)103
Publication status	Published - Jun 2011

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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. ",

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AU - Hecht, Michael

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AU - Mayr, Peter

AU - Mertens, Adrian

AU - Soroush, Masoud

N1 - 62 pages; v2: typos corrected and references added

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AB - 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.

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DO - 10.1007/JHEP06(2011)103

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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ER -

Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry

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