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Extended No-Scale Structure and $\alpha^{'2}$ Corrections to the Type IIB Action
High Energy Physics - Theory · Submitted 5 Jun 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that it imposes a strong lower bound the Calabi-Yau volume in the Large Volume Scenario of moduli stabilisation.
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The abstract, sentence by sentence
We analyse a new ${\cal N}=1$ string tree level correction at ${\cal O}(\alpha'^2)$ to the K\"ahler potential of the volume moduli of type IIB Calabi-Yau flux compactification found recently by Grimm, Savelli and Weissenbacher~\cite{Grimm:2013gma} and its impact on the moduli potential. We find that it imposes a strong lower bound the Calabi-Yau volume in the Large Volume Scenario of moduli stabilisation. For KKLT-like scenarios we find that consistency of the action imposes an upper bound on the flux superpotential $|W_0|\lesssim 10^{-3}$, while parametrically controlled survival of the KKLT minimum needs extreme tuning of $W_0$ close to zero. We also analyse the K\"ahler uplifting mechanism showing that it can operate on Calabi-Yau manifolds where the new correction is present and dominated by the 4-cycle controlling the overall volume if the volume is stabilised at values $\mathcal{V} \gtrsim 10^3$. We discuss the phenomenological implication of these bounds on $\mathcal{V}$ in the various scenarios.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyse a new ${\cal N}=1$ string tree level correction at ${\cal O}(\alpha'^2)$ to the K\"ahler potential of the volume moduli of type IIB Calabi-Yau flux compactification found recently by Grimm, Savelli and Weissenbacher~\cite{Grimm:2013gma} and its impact on the moduli potential. | contribution 0.99 | 0.59 | 0.08 | asserted 0.89 |
| s1 | We find that it imposes a strong lower bound the Calabi-Yau volume in the Large Volume Scenario of moduli stabilisation. | result 1.00 | 0.96 | 0.47 | asserted 1.00 |
| s2 | For KKLT-like scenarios we find that consistency of the action imposes an upper bound on the flux superpotential $|W_0|\lesssim 10^{-3}$, while parametrically controlled survival of the KKLT minimum needs extreme tuning of $W_0$ close to zero. | result 1.00 | 0.95 | 0.21 | asserted 1.00 |
| s3 | We also analyse the K\"ahler uplifting mechanism showing that it can operate on Calabi-Yau manifolds where the new correction is present and dominated by the 4-cycle controlling the overall volume if the volume is stabilised at values $\mathcal{V} \gtrsim 10^3$. | result 0.83 | 0.93 | 0.10 | asserted 0.87 |
| s4 | We discuss the phenomenological implication of these bounds on $\mathcal{V}$ in the various scenarios. | interpretation 0.60 | 0.77 | 0.05 | unclear 0.69 |
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The paper
Original abstract
We analyse a new ${\cal N}=1$ string tree level correction at ${\cal O}(\alpha'^2)$ to the K\"ahler potential of the volume moduli of type IIB Calabi-Yau flux compactification found recently by Grimm, Savelli and Weissenbacher~\cite{Grimm:2013gma} and its impact on the moduli potential. We find that it imposes a strong lower bound the Calabi-Yau volume in the Large Volume Scenario of moduli stabilisation. For KKLT-like scenarios we find that consistency of the action imposes an upper bound on the flux superpotential $|W_0|\lesssim 10^{-3}$, while parametrically controlled survival of the KKLT minimum needs extreme tuning of $W_0$ close to zero. We also analyse the K\"ahler uplifting mechanism showing that it can operate on Calabi-Yau manifolds where the new correction is present and dominated by the 4-cycle controlling the overall volume if the volume is stabilised at values $\mathcal{V} \gtrsim 10^3$. We discuss the phenomenological implication of these bounds on $\mathcal{V}$ in the various scenarios.
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References
How the literature uses it
10 arXiv papers cite this in 19 sentences
Papers citing it · 16 sentences without a confident label
Compares with it 1 paper
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Similarly, [ref] recently described how other Kähler potential corrections affect the stabilization of classical moduli; much of their analysis applies directly to our results, since both sets of corrections to the Kähler potential have the same scaling with compactification volume in the large-volume limit.
The Dimensional Reduction and K\"ahler Metric of Forms In Flux and Warping · Introduction · 0.85
Cites it as background 1 paper
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This $α^'^3$-correction breaks the no-scale structure [In the meantime, there have been proposals for string-loop corrections [ref] as well as `new' $α^'$-corrections [ref] (see also [ref] for a related progress in $N=2$ F-theory compactifications).
F-term Stabilization of Odd Axions in LARGE Volume Scenario · Extended LARGE Volume Scenario · 0.87
What it cites · 31 sentences without a confident label
Builds on 2 papers
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Building up on [ref] , Cicoli, Conlon and Quevedo [ref] have considered the impact of $g_s^2 α'^2$ corrections arising from string exchange between stacks of D3- and D7-branes on the LVS minimum.
Jumping Through Loops: On Soft Terms from Large Volume Compactifications · Moduli stabilisation and extended no-scale structure · 0.95
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Building up on [ref] , Cicoli, Conlon and Quevedo [ref] have considered the impact of $g_s^2 α'^2$ corrections arising from string exchange between stacks of D3- and D7-branes on the LVS minimum.
Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications · Moduli stabilisation and extended no-scale structure · 0.95
Uses the method or tool of 2 papers
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For specific toric examples, the matrix $R_ij$ can be calculated according to the algorithm presented in [ref] .
Calabi-Yau Manifolds with Large Volume Vacua · $α^'2$ corrected action · 0.99
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The triple intersections of $X_3$ can be computed using PALP [ref] to be $κ_444=72$ and $κ_555=9$ while all other intersection numbers vanish.
PALP - a User Manual · $ℂℙ_11169^4[18]$ · 0.89
Uses data or values from 1 paper
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The quantum corrected volume of the CY threefold $X_3$ is [ref] =-5 /64_D7∩O7 , and so the Kähler potential for the moduli becomes K=-2log=-2log( -5 /64_D7∩O7 ).
On \alpha' corrections in N=1 F-theory compactifications · $α^'2$ corrected action · 0.93
Compares with 1 paper
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However the corrections of [ref] were of order $α'^2 g_s^2$ and had overall numerical coefficients of $O(1)$, while here we find that the overall coefficients in Eqs. ([ref]) and ([ref]) are neither $O(1)$ nor feature suppression by extra powers of $g_s≪1$.
Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications · LVS · 1.00
Cites as background 9 papers
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In this section, we review the protection of the type IIB scalar potential by extended no-scale structure, following the original work of Cicoli, Conlon and Quevedo [ref] .
Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications · Perturbations to no-scale supergravity · 0.98
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Note that there is a peculiar relation between the volumes of the base $B_3$ and the CY $X_3$ in the case of $ℂℙ_11169^4[18]$ that was already discussed extensively in [ref] : The triple self intersection $D_5 ∩D_5 ∩D_5$ lies on the 4-cycle defined by $ξ= 0$, i.e., the cycle that is wrapped by the O7 plane.
Building an explicit de Sitter · $ℂℙ_11169^4[18]$ · 0.82
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An additional source of vacuum energy is necessary to reach zero vacuum energy. * In 'Kähler uplifting', we can play off the $O(α'^3)$-correction to the volume moduli Kähler potential and a non-perturbative superpotential from gaugino condensation on stacked D7-branes in a different way than in the LVS [ref] .
A sufficient condition for de Sitter vacua in type IIB string theory · Introduction · 0.88
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