On the flux vacua in F-theory compactifications

Honma, Yoshinori; Otsuka, Hajime

doi:10.1016/j.physletb.2017.09.062

Cited by 24 publications

(18 citation statements)

References 47 publications

(90 reference statements)

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“…However, the behaviour of the scalar potential was qualitatively the same as for a generic point on O 1 . For some recent discussion of moduli stabilization at the point of large complex structure in a particular example see also [51].…”

Section: Jhep01(2018)086mentioning

confidence: 99%

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds

Cota¹,

Klemm

Schimannek³

2018

J. High Energ. Phys.

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We discuss the period geometry and the topological string amplitudes on elliptically fibered Calabi-Yau fourfolds in toric ambient spaces. In particular, we describe a general procedure to fix integral periods. Using some elementary facts from homological mirror symmetry we then obtain Bridgelands involution and its monodromy action on the integral basis for non-singular elliptically fibered fourfolds. The full monodromy group contains a subgroup that acts as PSL(2,Z) on the Kähler modulus of the fiber and we analyze the consequences of this modularity for the genus zero and genus one amplitudes as well as the associated geometric invariants. We find holomorphic anomaly equations for the amplitudes, reflecting precisely the failure of exact PSL(2,Z) invariance that relates them to quasi-modular forms. Finally we use the integral basis of periods to study the horizontal flux superpotential and the leading order Kähler potential for the moduli fields in F-theory compactifications globally on the complex structure moduli space. For a particular example we verify attractor behaviour at the generic conifold given an aligned choice of flux which we expect to be universal. Furthermore we analyze the superpotential at the orbifold points but find no stable vacua.

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Section: Jhep01(2018)086mentioning

confidence: 99%

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds

Cota¹,

Klemm

Schimannek³

2018

J. High Energ. Phys.

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“…Let us move on to discuss the 4D N = 1 effective theory based on F-theory flux compactification on a Calabi-Yau fourfold X 4 . After introducing the setup of a model constructed in [23], we numerically analyze the distribution of supersymmetry-breaking minima of its scalar potential in the same manner as performed in the previous section.…”

Section: F-theory Modelmentioning

confidence: 99%

“…As an explicit example of F-theory compactification, here we consider the background studied in [23] (see also [28,29,30,31,32]), whose period integrals and topological intersection matrix are given by are originated from a bulk quintic modulus, a brane modulus and the axio-dilaton in Type IIB description, respectively. Note that here we have picked up the leading interactions only.…”

Section: )mentioning

confidence: 99%

“…Here let us impose a condition n 2 = n 3 = n 4 = n 8 = n 9 = n 10 = 0, (3.15) and non-zero otherwise, which corresponds to consider the self-dual G 4 fluxes only. In this setup, the model has a Minkowski minimum with V = 0 as a solution to the F -term condition and the values of the moduli fields are fixed as [23] Rez = Rez 1 = ReS = 0, Imz = 6n 11 5n 1 1/4 2 √ n 6 (8n 6 (n 5 + n 6 ) − 5n 2 7 ) 1/4 ,…”

Section: )mentioning

confidence: 99%

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F-theory flux vacua and attractor equations

Honma¹,

Otsuka²

2020

J. High Energ. Phys.

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We examine the vacuum structure of 4D effective theories of moduli fields in spacetime compactifications with quantized background fluxes. Imposing the no-scale structure for the volume deformations, we numerically investigate the distributions of flux vacua of the effective potential in complex structure moduli and axio-dilaton directions for two explicit examples in Type IIB string theory and F-theory compactifications. It turns out that distributions of non-supersymmetric flux vacua exhibit a non-increasing functional behavior of several on-shell quantities with respect to the string coupling. We point out that this phenomena can be deeply connected with a previously-reported possible correspondence between the flux vacua in moduli stabilization problem and the attractor mechanism in supergravity, and our explicit demonstration implies that such a correspondence generically exist even in the framework of F-theory. In particular, we confirm that the solutions of the effective potential we explicitly evaluated in Type IIB and F-theory flux compactifications indeed satisfy the generalized form of the attractor equations simultaneously. † yhonma@law.meijigakuin.ac.jp

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“…2 Note that stringy modes and KaluzaKlein modes should be sufficiently heavier than all the moduli fields to justify description of the low-energy effective field theory.…”

Section: Introductionmentioning

confidence: 99%

Radiative Kähler moduli stabilization

et al. 2018

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We propose a new type of Kähler moduli stabilization mechanisms in type IIB superstring theory on Calabi-Yau manifolds with the positive Euler number. The overall Kähler modulus can be perturbatively stabilized by radiative corrections due to sparticles. Its minimum is the anti-de Sitter vacuum, where supersymmetry is broken. We can uplift it to the de Sitter vacuum by introducing anti-D-branes, keeping the modulus stabilized. Although our numerical results depend on the choice of the cutoff scale and degeneracies of sparticles, at any rate there exist the parameter spaces where the masses of Kaluza-Klein and stringy modes are larger than the cutoff scale. Furthermore, this stabilization scenario predicts an ultralight axion.

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On the flux vacua in F-theory compactifications

Cited by 24 publications

References 47 publications

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds

F-theory flux vacua and attractor equations

Radiative Kähler moduli stabilization

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