From M-theory higher curvature terms to α′ corrections in F-theory

We perform a Kaluza–Klein reduction of eleven-dimensional supergravity on a Calabi–Yau fourfold including terms quartic and cubic in the Riemann curvature and determine the induced corrections to the three-dimensional two-derivative N=2 effective action. We focus on the effective Einstein–Hilbert te...

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Main Authors: Thomas W. Grimm, Jan Keitel, Raffaele Savelli, Matthias Weissenbacher
Format: Article
Language:English
Published: Elsevier 2016-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315004319
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spelling doaj-6240c995878e44a9b6801dcb532d2c1e2020-11-24T22:49:12ZengElsevierNuclear Physics B0550-32131873-15622016-02-01903C32535910.1016/j.nuclphysb.2015.12.011From M-theory higher curvature terms to α′ corrections in F-theoryThomas W. Grimm0Jan Keitel1Raffaele Savelli2Matthias Weissenbacher3Max Planck Institute for Physics, Föhringer Ring 6, 80805 Munich, GermanyMax Planck Institute for Physics, Föhringer Ring 6, 80805 Munich, GermanyInstitut de Physique Théorique, CEA Saclay, Orme de Merisiers, F-91191 Gif-sur-Yvette, FranceMax Planck Institute for Physics, Föhringer Ring 6, 80805 Munich, GermanyWe perform a Kaluza–Klein reduction of eleven-dimensional supergravity on a Calabi–Yau fourfold including terms quartic and cubic in the Riemann curvature and determine the induced corrections to the three-dimensional two-derivative N=2 effective action. We focus on the effective Einstein–Hilbert term and the kinetic terms for vectors. Dualizing the vectors into scalars, we derive the resulting Kähler potential and complex coordinates. The classical expressions for the Kähler coordinates are non-trivially modified by terms containing the third Chern form of the background Calabi–Yau fourfold, while the functional form of the Kähler potential is shown to be uncorrected. We omit terms proportional to the non-harmonic part of the third Chern form. For elliptically fibered Calabi–Yau fourfolds the corrections can be uplifted to a four-dimensional F-theory compactification. We argue that also the four-dimensional N=1 Kähler coordinates receive non-trivial corrections. We find a simple expression for the induced corrections for different Abelian and non-Abelian seven-brane configurations by scanning over many Calabi–Yau fourfolds with resolved singularities. The interpretation of this expression leads us to conjecture that the higher-curvature corrections correspond to α′2 corrections that arise from open strings at the self-intersection of seven-branes.http://www.sciencedirect.com/science/article/pii/S0550321315004319
collection DOAJ
language English
format Article
sources DOAJ
author Thomas W. Grimm
Jan Keitel
Raffaele Savelli
Matthias Weissenbacher
spellingShingle Thomas W. Grimm
Jan Keitel
Raffaele Savelli
Matthias Weissenbacher
From M-theory higher curvature terms to α′ corrections in F-theory
Nuclear Physics B
author_facet Thomas W. Grimm
Jan Keitel
Raffaele Savelli
Matthias Weissenbacher
author_sort Thomas W. Grimm
title From M-theory higher curvature terms to α′ corrections in F-theory
title_short From M-theory higher curvature terms to α′ corrections in F-theory
title_full From M-theory higher curvature terms to α′ corrections in F-theory
title_fullStr From M-theory higher curvature terms to α′ corrections in F-theory
title_full_unstemmed From M-theory higher curvature terms to α′ corrections in F-theory
title_sort from m-theory higher curvature terms to α′ corrections in f-theory
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-02-01
description We perform a Kaluza–Klein reduction of eleven-dimensional supergravity on a Calabi–Yau fourfold including terms quartic and cubic in the Riemann curvature and determine the induced corrections to the three-dimensional two-derivative N=2 effective action. We focus on the effective Einstein–Hilbert term and the kinetic terms for vectors. Dualizing the vectors into scalars, we derive the resulting Kähler potential and complex coordinates. The classical expressions for the Kähler coordinates are non-trivially modified by terms containing the third Chern form of the background Calabi–Yau fourfold, while the functional form of the Kähler potential is shown to be uncorrected. We omit terms proportional to the non-harmonic part of the third Chern form. For elliptically fibered Calabi–Yau fourfolds the corrections can be uplifted to a four-dimensional F-theory compactification. We argue that also the four-dimensional N=1 Kähler coordinates receive non-trivial corrections. We find a simple expression for the induced corrections for different Abelian and non-Abelian seven-brane configurations by scanning over many Calabi–Yau fourfolds with resolved singularities. The interpretation of this expression leads us to conjecture that the higher-curvature corrections correspond to α′2 corrections that arise from open strings at the self-intersection of seven-branes.
url http://www.sciencedirect.com/science/article/pii/S0550321315004319
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