One-modulus Calabi-Yau fourfold reductions with higher-derivative terms

Grimm, Thomas W.; Mayer, Kilian; Weissenbacher, Matthias

doi:10.1007/jhep04(2018)021

Cited by 18 publications

(47 citation statements)

References 53 publications

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“…The three-dimensional Kähler coordinates generically lead to a breaking of the no-scale structure which may remain present in four-dimensions. This breaking of the no-scale structure is also consistent with the one-modulus case [14]. However, we conclude that a better understanding of the F-theory uplift at one-loop is required before deciding on the ultimate fate of the α 2 -correction to the four-dimensional scalar potential.…”

Section: Jhep04(2020)032supporting

confidence: 78%

“…This is very intriguing as it will allow for a F-theory interpretation. Lastly, in section 4.3 we show compatibility with the one-modulus case [14].…”

Section: Jhep04(2020)032mentioning

confidence: 79%

“…It is expected that the F-theory lift receives loop-corrections which result from integrating out Kaluza-Klein states on the 4d/3d circle at one-loop. As we encounter a l 6 M -correction to the Kähler coordinates with [14] logarithmic dependence on the Calabi-Yau fourfold volume reminiscent of such a loop correction we comment on a one-loop modification of the F-theory uplift. However, to present a complete analysis of the F-theory uplift at one-loop is beyond the scope of this work.…”

Section: Jhep04(2020)032mentioning

confidence: 99%

“…This then allows us to fix the parameters such that we can perform a controlled dimensional reduction on Calabi-Yau fourfolds with a generic number of Kähler deformations in section 3. Also in this section we review our previous results for the one-modulus case for which the integration in a three-dimensional Kähler potential and coordinates can be performed exactly [14].…”

Section: Jhep04(2020)032mentioning

confidence: 99%

“…4 Instead of computing string amplitudes or employing the Noether coupling method we take a more pragmatic way here. In [14] a complete basis of eight-derivative terms of the schematic form G 2 R 3 was constructed. We then compliment this with a basis for the (∇G) 2 R 2 -sector given in appendix B.3, both of which contribute to the kinetic terms of the three-dimensional vectors upon dimensional reduction.…”

Section: Jhep04(2020)032mentioning

confidence: 99%

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F-theory vacua and α′-corrections

Weissenbacher

2020

J. High Energ. Phys.

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In this work we analyze F-theory and Type IIB orientifold compactifications to study α-corrections to the four-dimensional, N = 1 effective actions. In particular, we obtain corrections to the Kählermoduli space metric and its complex structure for generic dimension originating from eight-derivative corrections to eleven-dimensional supergravity. We propose a completion of the G 2 R 3 and (∇G) 2 R 2-sector in eleven-dimensions relevant in Calabi-Yau fourfold reductions. We suggest that the three-dimensional, N = 2 Kähler coordinates may be expressed as topological integrals depending on the first, second, and third Chern-forms of the divisors of the internal Calabi-Yau fourfold. The divisor integral Ansatz for the Kähler potential and Kähler coordinates may be lifted to four-dimensional, N = 1 F-theory vacua. We identify a novel correction to the Kähler potential and coordinates at order α 2 , which is leading compared to other known corrections in the literature. At weak string coupling the correction arises from the intersection of D7-branes and O7-planes with base divisors and the volume of self-intersection curves of divisors in the base. In the presence of the conjectured novel α-correction resulting from the divisor interpretation the no-scale structure may be broken. Furthermore, we propose a model independent scenario to achieve non-supersymmetric AdS vacua for Calabi-Yau orientifold backgrounds with negative Euler-characteristic.

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Section: Jhep04(2020)032supporting

confidence: 78%

“…This is very intriguing as it will allow for a F-theory interpretation. Lastly, in section 4.3 we show compatibility with the one-modulus case [14].…”

Section: Jhep04(2020)032mentioning

confidence: 79%

Section: Jhep04(2020)032mentioning

confidence: 99%

Section: Jhep04(2020)032mentioning

confidence: 99%

Section: Jhep04(2020)032mentioning

confidence: 99%

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F-theory vacua and α′-corrections

Weissenbacher

2020

J. High Energ. Phys.

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The Swampland: Introduction and Review

Palti

2019

Fortschritte der Physik

954

1,097

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The Swampland program aims to distinguish effective theories which can be completed into quantum gravity in the ultraviolet from those which cannot. This article forms an introduction to the field, assuming only a knowledge of quantum field theory and general relativity. It also forms a comprehensive review, covering the range of ideas that are part of the field, from the Weak Gravity Conjecture, through compactifications of String Theory, to the de Sitter conjecture.

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UV Shadows in EFTs: Accidental Symmetries, Robustness and No‐Scale Supergravity

Burgess

Cicoli

Ciupke

et al. 2020

Fortschritte der Physik

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We argue that accidental approximate scaling symmetries are robust predictions of weakly coupled string vacua, and show that their interplay with supersymmetry and other (generalised) internal symmetries underlies the ubiquitous appearance of no-scale supergravities in low-energy 4D EFTs. We identify 4 nested types of no-scale supergravities, and show how leading quantum corrections can break scale invariance while preserving some no-scale properties (including non-supersymmetric flat directions). We use these ideas to classify corrections to the low-energy 4D supergravity action in perturbative 10D string vacua, including both bulk and brane contributions. Our prediction for the Kähler potential at any fixed order in ′ and string loops agrees with all extant calculations. p-form fields play two important roles: they spawn many (generalised) shift symmetries; and space-filling 4-forms teach 4D physics about higher-dimensional phenomena like flux quantisation. We argue that these robust symmetry arguments suffice to understand obstructions to finding classical de Sitter vacua, and suggest how to get around them in UV complete models.

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One-modulus Calabi-Yau fourfold reductions with higher-derivative terms

Cited by 18 publications

References 53 publications

F-theory vacua and α′-corrections

F-theory vacua and α′-corrections

The Swampland: Introduction and Review

UV Shadows in EFTs: Accidental Symmetries, Robustness and No‐Scale Supergravity

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