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Computing brane and flux superpotentials in F-theory compactifications

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Abstract

In four-dimensional F-theory compactifications with N=1 supersymmetry the fields describing the dynamics of space-time filling 7-branes are part of the complex structure moduli space of the internal Calabi-Yau fourfold. We explicitly compute the flux superpotential in F-theory depending on all complex structure moduli, including the 7-brane deformations and the field corresponding to the axio-dilaton. Since fluxes on the 7-branes induce 5-brane charge, a local limit allows to effectively match the F-theory results to a D5-brane in a non-compact Calabi-Yau threefold with threeform fluxes. We analyze the classical and instanton contributions to the F-theory superpotential using mirror symmetry for Calabi-Yau fourfolds. The F-theory compactifications under consideration also admit heterotic dual descriptions and we discuss the identification of the moduli in this non-perturbative duality.

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  1. Bethe Center for Theoretical Physics, Universität Bonn, Nussallee 12, 53115, Bonn, Germany

    Thomas W. Grimm, Tae-Won Ha, Albrecht Klemm & Denis Klevers

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  1. Thomas W. Grimm
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  2. Tae-Won Ha
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  3. Albrecht Klemm
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Correspondence to Tae-Won Ha.

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ArXiv ePrint: 0909.2025

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Grimm, T.W., Ha, TW., Klemm, A. et al. Computing brane and flux superpotentials in F-theory compactifications. J. High Energ. Phys. 2010, 15 (2010). https://doi.org/10.1007/JHEP04(2010)015

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