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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.

how it is stated · asserted 1.00 read the record →

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arXiv ID1306.1237 (version 1)
Pith IDUTG4TAZW, Pith's permanent record of this paper and its review
CitationA. Westphal, F. G. Pedro, M. Rummel. "Extended No-Scale Structure and $\alpha^{'2}$ Corrections to the Type IIB Action." arXiv:1306.1237 (2013). https://pith.science/paper/UTG4TAZW
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What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.46 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.42 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
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

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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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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10 arXiv papers cite this in 19 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 16 sentences without a confident label

Compares with it 1 paper
  • 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
  • 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
Uses the method or tool of 2 papers
  • 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

  • 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
Compares with 1 paper
Cites as background 9 papers
  • 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

  • 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

  • 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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