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Journal of High Energy Physics

, 2019:200 | Cite as

Kähler moduli stabilization from ten dimensions

  • Iosif Bena
  • Mariana Graña
  • Nicolas KovenskyEmail author
  • Ander Retolaza
Open Access
Regular Article - Theoretical Physics

Abstract

We describe the back-reaction of gaugino condensates in supersymmetric AdS4 Type II String Theory compactifications with fluxes. We use generalized complex geometry to capture the modification of the ten-dimensional supersymmetry equations and show that the cosmological constant prevents the cycle wrapped by the branes with gaugino condensation from shrinking to zero size. Thus, unlike in ordinary geometric transitions in flat space, the volume of this cycle remains finite. For D7 branes with gaugino condensation, this gives a ten-dimensional account of Kähler moduli stabilization. Furthermore, by matching the ten-dimensional supergravity solutions near and far from the cycle wrapped by the D7 branes, we find a relation between the size of this cycle and the cosmological constant. This relation agrees with the supersymmetric AdS vacuum condition obtained by KKLT using effective field theory.

Keywords

Flux compactifications Nonperturbative Effects Superstring Vacua 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Iosif Bena
    • 1
  • Mariana Graña
    • 1
  • Nicolas Kovensky
    • 2
    Email author
  • Ander Retolaza
    • 1
  1. 1.Institut de Physique ThéoriqueUniversité Paris SaclayGif-sur-Yvette CEDEXFrance
  2. 2.Mathematical Sciences and STAG Research CentreUniversity of SouthamptonSouthamptonUnited Kingdom

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