Report/Journal Article PUBDB-2015-04718

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Higher-derivative supergravity and moduli stabilization

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2015
Springer Berlin

Journal of high energy physics 2015(10), 94 () [10.1007/JHEP10(2015)094]
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Report No.: DESY-15-076; arXiv:1505.03092

Abstract: 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.

Classification:

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
  2. HZ-NG-603 - Strings and Cosmology - an Interface for Testing fundamental Theories (2015_IFV-HZ-NG-603) (2015_IFV-HZ-NG-603)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2015
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Creative Commons Attribution CC BY 4.0 ; SCOAP3 OpenAccess ; OpenAccess ; Current Contents - Physical, Chemical and Earth Sciences ; IF >= 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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 Record created 2015-11-12, last modified 2025-07-17


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