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The Stringy Origins of Galileons and their Novel Limit
High Energy Physics - Theory · Submitted 22 Dec 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show generalized Galileons -- a particular subclass of Horndeski gravity -- arise from a consistent Kaluza-Klein reduction of the low-energy effective action of heterotic string theory to first order in $\alpha'$.
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The abstract, sentence by sentence
We show generalized Galileons -- a particular subclass of Horndeski gravity -- arise from a consistent Kaluza-Klein reduction of the low-energy effective action of heterotic string theory to first order in $\alpha'$. This suggests Horndeski theories of gravity have a string-theoretic origin. The form of the Galileonic terms is precisely fixed by parameters of the embedding spacetime, so that only a specific subset of Horndeski theories is permitted by string theory. A novel limit of the model is considered by performing a dimensionful rescaling of $\alpha'$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show generalized Galileons -- a particular subclass of Horndeski gravity -- arise from a consistent Kaluza-Klein reduction of the low-energy effective action of heterotic string theory to first order in $\alpha'$. | result 0.76 | 0.93 | 0.79 | asserted 1.00 |
| s1 | This suggests Horndeski theories of gravity have a string-theoretic origin. | interpretation 1.00 | 0.31 | 0.38 | hedged possibility 1.00 |
| s2 | The form of the Galileonic terms is precisely fixed by parameters of the embedding spacetime, so that only a specific subset of Horndeski theories is permitted by string theory. | result 0.81 | 0.76 | 0.24 | asserted 1.00 |
| s3 | A novel limit of the model is considered by performing a dimensionful rescaling of $\alpha'$. | contribution 0.63 | 0.90 | 0.05 | asserted 0.97 |
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The paper
Original abstract
We show generalized Galileons -- a particular subclass of Horndeski gravity -- arise from a consistent Kaluza-Klein reduction of the low-energy effective action of heterotic string theory to first order in $\alpha'$. This suggests Horndeski theories of gravity have a string-theoretic origin. The form of the Galileonic terms is precisely fixed by parameters of the embedding spacetime, so that only a specific subset of Horndeski theories is permitted by string theory. A novel limit of the model is considered by performing a dimensionful rescaling of $\alpha'$.
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How the literature uses it
3 arXiv papers cite this in 11 sentences
Papers citing it · 7 sentences without a confident label
Builds on it 1 paper
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Building off of the observations made in [ref] , the authors of [ref] considered the first $α'$ correction to the low-energy effective action of 10-dimensional heterotic string theory, which famously includes a Gauss-Bonnet term [ref] :
Cosmic acceleration from string induced Galileons · String induced Galileons · 0.85
Cites it as background 1 paper
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Further work is being done on investigations of possible fundamental (stringy) origins for these regularized theories [ref] .
Gravity with a generalized conformal scalar field: Theory and solutions · Discussion · 0.93
What it cites · 99 sentences without a confident label
Builds on 3 papers
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In the first part of this article, building on [ref] , we present our central result: Galileon theories can be embedded in 10-dimensional string theory.
Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography · Introduction · 0.97
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In the first part of this article, building on [ref] , we present our central result: Galileon theories can be embedded in 10-dimensional string theory.
Galileons from Lovelock actions · Introduction · 0.97
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For example, when we impose $α=-1/32$, $β=-1/8$, we have an $α'$-corrected Callan-Giddings-Harvey-Strominger (CGHS)-like model[Notably we have not included the $e^-2ϕ4λ^2$ contribution or the minimally coupled matter action.] [ref] : I_CGHSα' =-1/2∫d^2x√(-g)[e^-2ϕ(R+4(∇ϕ)^2) -α'/4e^-31/16ϕ(ℒ_GB+105/16ϕ(∇ϕ)^2-1635/256(∇ϕ)^4)] .
Evanescent Black Holes · Galileons from Strings · 0.97
Uses the method or tool of 3 papers
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With this perspective in mind, here we will follow [ref] and find a novel string theory by rescaling $α'→α'/(D-(p+1))$ upon a KK reduction, and then take the $D→p+1$ limit.
Horndeski Gravity as $D\rightarrow4$ Limit of Gauss-Bonnet · Novel $α'$-Corrected String Theory? · 0.92
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Following [ref] , we take as our consistent metric ansatz for reducing Einstein-Gauss-Bonnet gravity over an $n$-dimensional internal manifold to be dŝ^2_(p+1+n)=e^2αϕds^2_p+1+e^2βϕdK^2_(n) .
Consistent Kaluza-Klein Sphere Reductions · Horndeski from Lovelock: A Review · 0.98
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For the action ([ref]) we find[See, e.g., [ref] for some useful formulas involving $P̅^abcd$.] P̅^abcd =1/2e^Aϕ(g^acg^bd-g^adg^bc) -α'/4e^Bϕ{(g_adg_bc-g_abg_cd)R+a_2/4[g^ac(∇^bϕ)(∇^dϕ)+g^bd(∇^aϕ)(∇^cϕ) -g^bc(∇^aϕ)(∇^dϕ)-g^ad(∇^bϕ)(∇^cϕ)-(∇ϕ)^2(g^acg^bd-g^adg^bc)]} ,
Emergence of Spacetime: From Entanglement to Einstein · Equations of Motion · 0.80
Compares with 3 papers
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We will draw comparisons to this method and the novel string theory written in [ref] .
$D\to4$ Einstein-Gauss-Bonnet Gravity and Beyond · Introduction · 0.98
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Our expression for the Ricci scalar matches Eq. (A.3) of [ref] in the flat space limit.
Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography · Kaluza-Klein Reduction of Einstein-Gauss-Bonnet · 1.00
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Lastly, the comparison between ([ref]) and the action in [ref] is really a comparison between the two methods of writing down a novel theory: dimensional reduction versus the Ross-Mann dimensional regularization [ref] .
The $D\to 2$ Limit of General Relativity · Novel $α'$-Corrected String Theory? · 0.98
Cites as background 15 papers
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Applying this trick has led to a flood of papers devoted to the study of this pure covariant theory of gravity, e.g., [ref] .
Wormholes in 4D Einstein-Gauss-Bonnet Gravity · Introduction · 0.84
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Applying this trick has led to a flood of papers devoted to the study of this pure covariant theory of gravity, e.g., [ref] .
Einstein-Gauss-Bonnet gravity in 4-dimensional space-time · Introduction · 0.84
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Applying this trick has led to a flood of papers devoted to the study of this pure covariant theory of gravity, e.g., [ref] .
Black holes in the four-dimensional Einstein-Lovelock gravity · Introduction · 0.84
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