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On M-theory fourfold vacua with higher curvature terms
High Energy Physics - Theory · Submitted 21 Aug 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The metric solution, however, is non-Ricci-flat even when allowing for a conformal rescaling including the warp factor.
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The abstract, sentence by sentence
We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space. The internal background is found to be a conformally Kahler manifold with vanishing first Chern class. The metric solution, however, is non-Ricci-flat even when allowing for a conformal rescaling including the warp factor. This deviation is due to the possible non-harmonicity of the third Chern-form in the leading order Ricci-flat metric. We present a systematic derivation of the background solution by solving the Killing spinor conditions including higher curvature terms. These are translated into first-order differential equations for a globally defined real two-form and complex four-form on the fourfold. We comment on the supersymmetry properties of the described solutions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space. | contribution 0.99 | 0.90 | 0.08 | asserted 0.97 |
| s1 | The internal background is found to be a conformally Kahler manifold with vanishing first Chern class. | result 1.00 | 0.92 | 0.21 | asserted 1.00 |
| s2 | The metric solution, however, is non-Ricci-flat even when allowing for a conformal rescaling including the warp factor. | result 1.00 | 0.90 | 0.43 | asserted 1.00 |
| s3 | This deviation is due to the possible non-harmonicity of the third Chern-form in the leading order Ricci-flat metric. | interpretation 0.97 | 0.77 | 0.26 | hedged possibility 0.71 |
| s4 | We present a systematic derivation of the background solution by solving the Killing spinor conditions including higher curvature terms. | method 0.83 | 0.96 | 0.09 | asserted 1.00 |
| s5 | These are translated into first-order differential equations for a globally defined real two-form and complex four-form on the fourfold. | method 0.90 | 0.90 | 0.07 | asserted 1.00 |
| s6 | We comment on the supersymmetry properties of the described solutions. | contribution 0.63 | 0.79 | 0.05 | unclear 0.95 |
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The paper
Original abstract
We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space. The internal background is found to be a conformally Kahler manifold with vanishing first Chern class. The metric solution, however, is non-Ricci-flat even when allowing for a conformal rescaling including the warp factor. This deviation is due to the possible non-harmonicity of the third Chern-form in the leading order Ricci-flat metric. We present a systematic derivation of the background solution by solving the Killing spinor conditions including higher curvature terms. These are translated into first-order differential equations for a globally defined real two-form and complex four-form on the fourfold. We comment on the supersymmetry properties of the described solutions.
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References
How the literature uses it
23 arXiv papers cite this in 54 sentences
Papers citing it · 37 sentences without a confident label
Builds on it 2 papers
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In this paper we study the three-dimensional effective action arising when perturbing the solutions considered in [ref] by a finite number of Kähler deformations of the metric and vector deformations of the M-theory three-form.
The effective action of warped M-theory reductions with higher derivative terms - Part I · Introduction and discussion · 0.89
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In this work we continued the study of the three-dimensional effective action obtained form dimensionally reducing M-theory on eight-dimensional compact manifolds initiated in [ref] .
The effective action of warped M-theory reductions with higher-derivative terms - Part II · Conclusions · 0.87
Compares with it 1 paper
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This is in analogy with the results of [ref] in the context of three-dimensional M-theory vacua in the presence of higher-derivative corrections.
The Euler characteristic correction to the Kaehler potential - revisited · Conclusions · 1.00
Cites it as background 9 papers
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To begin with we first review the warped solutions following [ref] .
The effective action of warped M-theory reductions with higher-derivative terms - Part II · Higher-order background solution · 0.93
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In this section we review the fourfold solutions including eight-derivative terms studied in [ref] .
One-modulus Calabi-Yau fourfold reductions with higher-derivative terms · Calabi–Yau fourfold solution including higher derivatives · 0.92
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Let us set the stage by reviewing the fourfold solutions including eight-derivative terms studied in [ref] .
F-theory Vacua and $\alpha'$-Corrections · Three-dimensional effective actions revisited · 1.00
What it cites · 4 sentences without a confident label
Builds on 3 papers
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We hope to present the derivation of the effective action in a forthcoming publication [ref] extending the results of [ref] .
On \alpha' corrections in N=1 F-theory compactifications · Introduction and summary · 0.88
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We hope to present the derivation of the effective action in a forthcoming publication [ref] extending the results of [ref] .
From M-theory higher curvature terms to \alpha' corrections in F-theory · Introduction and summary · 0.88
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We hope to present the derivation of the effective action in a forthcoming publication [ref] extending the results of [ref] .
Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action · Introduction and summary · 0.88
Cites as background 3 papers
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The terms fourth order in $$ are known since the works [ref] , while recently the third order terms involving $Ĝ$ have been analyzed in [ref] .
Higher-derivative couplings in string theory: dualities and the B-field · Introduction and summary · 0.91
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At the two-derivative level eleven-dimensional supergravity on $SU(4)$ structure manifolds has recently been studied in [ref] .
IIA supergravity and M-theory on manifolds with SU(4) structure · Introduction and summary · 0.88
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The case of having $SU(4)$ structure was discussed in [ref] .
IIB supergravity on manifolds with SU(4) structure and generalized geometry · Differential conditions on the globally defined forms · 0.84
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