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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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 |
work_keys_str_mv |
AT thomaswgrimm frommtheoryhighercurvaturetermstoacorrectionsinftheory AT jankeitel frommtheoryhighercurvaturetermstoacorrectionsinftheory AT raffaelesavelli frommtheoryhighercurvaturetermstoacorrectionsinftheory AT matthiasweissenbacher frommtheoryhighercurvaturetermstoacorrectionsinftheory |
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