Moduli stabilization in asymptotic flux compactifications

Grimm, Thomas W.; Plauschinn, Erik; Heisteeg, Damian van de

doi:10.1007/jhep03(2022)117

Cited by 40 publications

(68 citation statements)

References 79 publications

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“…In fact, the magnitude of W 0 has been always a center of attraction for model builders [41,42] and some significant amount of efforts has been made in this regard, specially in recent years [43][44][45][46] The main motivation for the current work is to implement the recipe of [39] for explicitly constructing the perturbatively flat flux vacua (PFFV) using several CY geometries. The reason behind this goal is to examine if such vacua are unique (or accidental and limited to just few CY geometries) or there is some (statistical) pattern in the sense of counting the number of PFFV.…”

Section: Introductionmentioning

confidence: 99%

Systematics of perturbatively flat flux vacua

Carta,

Mininno,

Shukla

2021

Preprint

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In this article, we present a systematic analysis of the so-called perturbatively flat flux vacua (PFFV) for the mirror Calabi-Yau (CY) 3-folds ( X3 ) with h 1,1 ( X3 ) = 2 arising from the Kreuzer-Skarke database of the four-dimensional reflexive polytopes. We consider the divisor topologies of the CY 3-folds for classifying the subsequent models into three categories; (i) models with the so-called Swiss-cheese structure, (ii) models with the K3-fibered structure, and (iii) the remaining ones which we call as models of "Hybrid type". In our detailed analysis of PFFV we find that for a given fixed value of the D3 tadpole charge N flux , the K3-fibered mirror CY 3-folds have significantly larger number of such PFFV as compared to those which have Swiss-cheese structure, while the Hybrid type models have a mixed behavior. We also compute the Gopakumar-Vafa invariants necessary for fixing the flat valley in the weak string-coupling and large complex-structure regime by using the non-perturbative effects, which subsequently reduce the number of physically trustworthy vacua quite significantly. Moreover, we find that there are some examples in which the PFFV are protected even at the leading orders of the non-perturbative effects due to the some underlying symmetry in the CY geometry, which we call as "Exponentially flat flux vacua". We also present a new class of PFFV using the S-duality arguments.

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Section: Introductionmentioning

confidence: 99%

Systematics of perturbatively flat flux vacua

Carta,

Mininno,

Shukla

2021

Preprint

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“…We expect that this can be done for explicit geometric Calabi-Yau examples or abstractly by using Hodge theory techniques. In either approach the described building block can be part of a general asymptotic moduli stabilization scheme put forward in [31,51].…”

Section: Discussionmentioning

confidence: 99%

“…The most direct way to make progress on more general configurations is to extend the construction of asymptotic periods in [7] and then use them to study flux vacua. Alternatively one can aim to apply the asymptotic Hodge theory techniques directly to the scalar potential as in [31,51], but this requires one to develop an efficient strategy to gain information about the superpotential.…”

Section: Discussionmentioning

confidence: 99%

Engineering Small Flux Superpotentials and Mass Hierarchies

Bastian¹,

Grimm²,

Heisteeg³

2021

Preprint

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We study the stabilization of complex structure moduli in Type IIB flux compactifications by using recent general results about the form of the superpotential and Kähler potential near the boundaries of the moduli space. In this process we show how vacua with an exponentially small vacuum superpotential can be realized systematically and understood conceptually within asymptotic Hodge theory. We distinguish two types of vacua realizing such superpotentials that differ by the mass scales of the stabilized moduli. Masses polynomially depending on the moduli arise if the superpotential contains exponential corrections whose existence is required to ensure the non-degeneracy of the moduli space metric. We use the fact that such essential corrections are controlled by asymptotic Hodge theory and have recently been constructed for all one-and two-moduli asymptotic regimes. These insights allow us to obtain new vacua near boundaries in complex structure moduli space that include Seiberg-Witten points. In these examples we find that the scale of the vacuum superpotential can be bounded from below through the exponential of the negative D3-brane tadpole.

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“…For further developments along this line, see for example[18][19][20][21][22][23][24][25][26] 3. In[32], it was found that the global Sen-limit appears rarely in a set of elliptic Calabi-Yau fourfolds that are constructed as elliptic fibrations over weak Fano threefolds.…”

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confidence: 99%

D-Instanton Superpotential In String Theory

Kim

2022

Preprint

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We study non-perturbative superpotential generated by D(-1)-branes in type IIB compactifications on orientifolds of Calabi-Yau threefold hypersurfaces. To compute D-instanton superpotential, we study F-theory compactification on toric complete intersection elliptic Calabi-Yau fourfolds. We take the Sen-limit, but with finite g s , in F-theory compactification with a restriction that all D7-branes are carrying SO(8) gauge groups, which we call the global Sen-limit. In the global Sen-limit, the axio-dilaton is not varying in the compactification manifold. We compute the Picard-Fuchs equations of elliptic Calabi-Yau fourfolds in the global Sen-limit, and show that the Picard-Fuchs equations of the elliptic fourfolds split into that of the underlying Calabi-Yau threefolds and of the elliptic fiber. We then demonstrate that this splitting property of the Picard-Fuchs equation implies that the fourform period of the elliptic Calabi-Yau fourfolds in the global Sen-limit does not contain exponentially suppressed terms O(e −π/gs ). With this result, we finally show that in the global Sen-limit, superpotential of the underlying type IIB compactification does not receive D(-1)-instanton contributions.

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Moduli stabilization in asymptotic flux compactifications

Cited by 40 publications

References 79 publications

Systematics of perturbatively flat flux vacua

Systematics of perturbatively flat flux vacua

Engineering Small Flux Superpotentials and Mass Hierarchies

D-Instanton Superpotential In String Theory

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