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On quantum corrected Kähler potentials in F-theory

  • Iñaki García-Etxebarria
  • Hirotaka Hayashi
  • Raffaele Savelli
  • Gary Shiu
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Abstract

We work out the exact in g s and perturbatively exact in α′ result for the vector multiplet moduli Kähler potential in a specific \( \mathcal{N} \) = 2 compactification of F-theory. The well-known α ′3 correction is absent, but there is a rich structure of corrections at all even orders in α ′ . Moreover, each of these orders independently displays an SL(2, \( \mathbb{Z} \)) invariant set of corrections in the string coupling constant. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated \( \mathcal{N} \) = 1 context, and may have interesting implications for the study of moduli stabilization in string theory.

Keywords

Compactification and String Models F-Theory Superstrings and Heterotic Strings Superstring Vacua 
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Copyright information

© SISSA 2013

Authors and Affiliations

  • Iñaki García-Etxebarria
    • 1
  • Hirotaka Hayashi
    • 2
  • Raffaele Savelli
    • 3
  • Gary Shiu
    • 4
    • 5
  1. 1.Theory Group, Physics Department, CERNGeneva 23Switzerland
  2. 2.School of Physics, Korea Institute for Advanced StudySeoulKorea
  3. 3.Max-Planck-Institut für PhysikMunichGermany
  4. 4.Department of PhysicsUniversity of Wisconsin-MadisonMadisonU.S.A
  5. 5.Department of Physics and Institute for Advanced StudyHong Kong University of Science and TechnologyKowloonHong Kong

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