Higher-derivative supergravity and moduli stabilization

  • David CiupkeEmail author
  • Jan Louis
  • Alexander Westphal
Open Access
Regular Article - Theoretical Physics


We review the ghost-free four-derivative terms for chiral superfields in \( \mathcal{N}=1 \) supersymmetry and supergravity. These terms induce cubic polynomial equations of motion for the chiral auxiliary fields and correct the scalar potential. We discuss the different solutions and argue that only one of them is consistent with the principles of effective field theory. Special attention is paid to the corrections along flat directions which can be stabilized or destabilized by the higher-derivative terms. We then compute these higher-derivative terms explicitly for the type IIB string compactified on a Calabi-Yau orientifold with fluxes via Kaluza-Klein reducing the (α′)3 R 4 corrections in ten dimensions for the respective \( \mathcal{N}=1 \) Kähler moduli sector. We prove that together with flux and the known (α′)3-corrections the higher-derivative term stabilizes all Calabi-Yau manifolds with positive Euler number, provided the sign of the new correction is negative.


Flux compactifications Superstring Vacua Supersymmetric Effective Theories Supergravity Models 


Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Deutsches Elektronen-Synchrotron DESY, Theory GroupHamburgGermany
  2. 2.Fachbereich Physik der Universität HamburgHamburgGermany
  3. 3.Zentrum für Mathematische PhysikUniversität HamburgHamburgGermany

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