One-modulus Calabi-Yau fourfold reductions with higher-derivative terms

Thomas W. Grimm, Kilian Mayer*, Matthias Weissenbacher

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this note we consider M-theory compactified on a warped Calabi-Yau four-fold including the eight-derivative terms in the eleven-dimensional action known in the literature. We dimensionally reduce this theory on geometries with one Kähler modulus and determine the resulting three-dimensional Kähler potential and complex coordinate. The logarithmic form of the corrections suggests that they might admit a physical interpretation in terms of one-loop corrections to the effective action. Including only the known terms the no-scale condition in three dimensions is broken, but we discuss caveats to this conclusion. In particular, we consider additional new eight-derivative terms in eleven dimensions and show that they are strongly constrained by compatibility with the Calabi-Yau threefold reduction. We examine their impact on the Calabi-Yau fourfold reduction and the restoration of the no-scale property.

Original languageEnglish
Article number21
JournalJournal of High Energy Physics
Volume2018
Issue number4
DOIs
Publication statusPublished - 1 Apr 2018

Keywords

  • F-Theory
  • Flux compactifications
  • M-Theory
  • String Duality

Fingerprint

Dive into the research topics of 'One-modulus Calabi-Yau fourfold reductions with higher-derivative terms'. Together they form a unique fingerprint.

Cite this