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Heterotic de-Sitter Solutions
High Energy Physics - Theory · Submitted 10 Jun 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that warped $dS_n$ backgrounds, with $n\ge 3$, are $\mathbb{R}^{1,n}\times M_{9-n}$, where $M_{9-n}$ is a $(9-n)$-dimensional Riemannian manifold.
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The abstract, sentence by sentence
We classify all warped product de-Sitter backgrounds in heterotic supergravity, up to two loops. We find that warped $dS_n$ backgrounds, with $n\ge 3$, are $\mathbb{R}^{1,n}\times M_{9-n}$, where $M_{9-n}$ is a $(9-n)$-dimensional Riemannian manifold. Moreover, we establish that warped $dS_2$ backgrounds are $AdS_3\times M_7$, where $M_7$ is a 7-dimensional Riemannian manifold.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We classify all warped product de-Sitter backgrounds in heterotic supergravity, up to two loops. | contribution 1.00 | 0.95 | 0.23 | asserted 0.98 |
| s1 | We find that warped $dS_n$ backgrounds, with $n\ge 3$, are $\mathbb{R}^{1,n}\times M_{9-n}$, where $M_{9-n}$ is a $(9-n)$-dimensional Riemannian manifold. | result 1.00 | 0.95 | 0.39 | asserted 1.00 |
| s2 | Moreover, we establish that warped $dS_2$ backgrounds are $AdS_3\times M_7$, where $M_7$ is a 7-dimensional Riemannian manifold. | result 1.00 | 0.94 | 0.18 | asserted 1.00 |
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The paper
Original abstract
We classify all warped product de-Sitter backgrounds in heterotic supergravity, up to two loops. We find that warped $dS_n$ backgrounds, with $n\ge 3$, are $\mathbb{R}^{1,n}\times M_{9-n}$, where $M_{9-n}$ is a $(9-n)$-dimensional Riemannian manifold. Moreover, we establish that warped $dS_2$ backgrounds are $AdS_3\times M_7$, where $M_7$ is a 7-dimensional Riemannian manifold.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
What it cites · 15 sentences without a confident label
Builds on 3 papers
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The work in [ref] is extended and complemented in [ref] , where, using a world-sheet CFT argument, it is shown that the heterotic string essentially rules out $dS_n$ vacua with $n≥4$, to all orders in $α^'$.
Constraints on String Cosmology · Conclusion · 0.84
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The work in [ref] is extended and complemented in [ref] , where, using a world-sheet CFT argument, it is shown that the heterotic string essentially rules out $dS_n$ vacua with $n≥4$, to all orders in $α^'$.
On Cosmological Constants from alpha'-Corrections · Conclusion · 0.84
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The work in [ref] is extended and complemented in [ref] , where, using a world-sheet CFT argument, it is shown that the heterotic string essentially rules out $dS_n$ vacua with $n≥4$, to all orders in $α^'$.
Constraining de Sitter Space in String Theory · Conclusion · 0.84
Uses the method or tool of 1 paper
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It is a general property of $D=11$ Killing superalgebras that the vector fields dual to [ref] - which will be denoted by the same name $K(ϵ_1,ϵ_2)$ - are Killing vectors [ref] , satisfying [equation] In the following, we denote $K_1^rs:=K(ϵ_1^r,ϵ_1^s)$, $K_2^rs:=K(ϵ_2^r,ϵ_2^s)$ and $K_3^rs:=K(ϵ_1^r,ϵ_2^s)$.
Supersymmetry and homogeneity of M-theory backgrounds · $D=11$ $dS_3$ Killing superalgebra · 0.90
Compares with 2 papers
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A similar situation occurs for warped $dS_4$ backgrounds in $D=11$ supergravity: indeed, in [ref] , by analyzing the constraints on the geometry imposed by minimal $N=8$ supersymmetry, it is shown that warped $dS_4$ backgrounds are not generically foliations into $AdS_5$ or $ℝ^1,5$.
Supersymmetric dS4 solutions in D=11 supergravity · Conclusion · 0.93
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These results complement [ref] , where, utilizing world-sheet CFT arguments, it is shown that in heterotic string theory $dS_n$ vacua with $n≥4$ are forbidden to all orders in $α^'$.
Constraining de Sitter Space in String Theory · Introduction · 0.91
Cites as background 8 papers
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Anomaly corrected backgrounds in heterotic theory have been studied in [ref] , in the context of supersymmetric near-horizon geometries and in [ref] , in the context of the classification of supersymmetric warped $AdS$ backgrounds.
Geometry and supersymmetry of heterotic warped flux AdS backgrounds · Introduction · 0.85
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Anomaly corrected backgrounds in heterotic theory have been studied in [ref] , in the context of supersymmetric near-horizon geometries and in [ref] , in the context of the classification of supersymmetric warped $AdS$ backgrounds.
Anomaly Corrected Heterotic Horizons · Introduction · 0.85
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Backgrounds of these form have been studied in [ref] and [ref] .
Compact supersymmetric solutions of the heterotic equations of motion in dimension 5 · Conclusion · 0.92
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