The tadpole conjecture at large complex-structure

Plauschinn, Erik

doi:10.1007/jhep02(2022)206

Cited by 40 publications

(52 citation statements)

References 25 publications

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“…Our central result (3.12) provides a quantitative lower bound on the flux-induced D3 tadpole. The tadpole conjecture [21,[42][43][44][45] on the other hand states that, for a large number h 2,1 of complex structure (CS) moduli, the tadpole of the 3-form flux required to stabilize all of them in a non-singular regime grows faster than the negative tadpole of the corresponding orientifold geometry. If the conjecture were true, it would be logical to focus on LVS models with a large tadpole and a small number of moduli, escaping the allegedly dangerous asymptotic regime.…”

Section: Interplay With the Tadpole Problemmentioning

confidence: 99%

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The LVS Parametric Tadpole Constraint

Gao,

Hebecker,

Schreyer

et al. 2022

Preprint

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The large volume scenario (LVS) for de Sitter compactifications of the type IIB string is, at least in principle, well protected from various unknown corrections. The reason is that, by construction, the Calabi-Yau volume is exponentially large. However, as has recently been emphasised, in practice the most explicit models are rather on the border of parametric control. We identify and quantify parametrically what we believe to be the main issue behind this difficulty. Namely, a large volume implies a shallow AdS minimum and hence a small uplift. The latter, if it relies on an anti-D3 in a throat, requires a large negative tadpole. As our main result, we provide a simple and explicit formula for what this tadpole has to be in order to control the most dangerous corrections. The fundamental ingredients are parameters specifying the desired quality of control. We comment on the interplay between our constraint and the tadpole conjecture. We also discuss directions for future work which could lead to LVS constructions satisfying the tadpole constraint with better control, as well as further challenges that may exist for the LVS. Our formula then represents a very concrete challenge for future searches for and the understanding of relevant geometries.

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Section: Interplay With the Tadpole Problemmentioning

confidence: 99%

“…4, we discuss how one may try to strengthen the LVS proposal in the future in spite of the presented constraint. We also discuss further challenges and comment on the interplay of our constraint with the tadpole conjecture [21,[42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

The LVS Parametric Tadpole Constraint

Gao,

Hebecker,

Schreyer

et al. 2022

Preprint

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“…In the context of Type IIB Calabi-Yau flux compactifications, the conjecture claims that the flux contribution to the D3-brane tadpole condition scales as N flux = F 3 ∧ H 3 > 2α(h 2,1 + 1) for large h 2,1 (5.21) where h 2,1 is the number of complex structure moduli and α is conjectured to be 1/3. Reference [36] checked this conjecture in the large complex structure regime by using Kahler moduli data of the mirror dual Calabi-Yau threefold in the Kreuzer-Skarke database [37] presented in [31]. The large complex structure regime maps to the stretched Kahler cone of the mirror defined by setting all curve volumes ≥ 1 to keep computational control.…”

Section: Relation To the Tadpole Conjecturementioning

confidence: 99%

“…This is exactly the same optimization problem that we have attacked in this paper! In [36] this minimal volume was estimated, although not computed explicitly, using the results of [31] to grow as N flux min(vol(CY 3 )) ∼ h 6.6 2,1 . We cannot apply directly our results to this setup, since we have only computed explicitly the volume of the base of the elliptically fibered threefolds, and not of the total Calabi-Yau.…”

Section: Relation To the Tadpole Conjecturementioning

confidence: 99%

The Desert and the Swampland

Long¹,

Vafa²,

Valenzuela³

2021

Preprint

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The most natural expectation away from asymptotic limits in moduli space of supergravity theories is the desert scenario, where there are few states between massless fields and the quantum gravity cutoff. In this paper we initiate a systematic study of these regions deep in the moduli space, and use it to place a bound on the number of massless modes by relating it to the black hole species problem. There exists a consistent sub-Planckian UV cutoff (the species scale) which resolves the black hole species problem without bounding the number of light modes. We reevaluate this in the context of supersymmetric string vacua in the desert region and show that even though heuristically the species scale is compatible with expectations, the BPS states of the actual string vacua lead to a stronger dependence of the cutoff scale on the number of massless modes. We propose that this discrepancy, which can be captured by the "BPS desert conjecture", resurrects the idea of a uniform bound on the number of light modes as a way to avoid the black hole species problem. This conjecture also implies a stronger form of the Tadpole Conjecture, which leads to an obstruction in stabilizing all moduli semi-classically for large number of moduli in flux compactifications.

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“…Given that very little is known about the corrections which induce the scalar potential pieces to perform moduli stabilization, it is an important question to ask if the de-Sitter vacua which pass the tests in the first two steps are genuine or not. For example, the questions regarding scale separation and field excursions in moduli space [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82] without breaking effective field theory (EFT) assumptions, tadpole conjecture [83][84][85] and ways to avoid it [86] may be considered in this class. In fact, it happens very often that the scalar potential corrections are known only in pieces and are sometimes discovered/challenged with new updates, and in this regard, a perfect check about viability may be considered as the toughest task for string phenomenologists !…”

mentioning

confidence: 99%

On stable type IIA de-Sitter vacua with geometric flux

Shukla¹

2022

Preprint

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We present T -dual pairs of tachyon free (stable) AdS as well as dS solutions in the context of type II orientifold compactifications. In our construction, the type IIA setting is a purely geometric flux model which, in addition, includes the usual NS-NS three-form flux H 3 and the RR p-form fluxes F p for p ∈ {0, 2, 4, 6}, while the T -dual type IIB model includes (non-)geometric fluxes along with the usual S-dual pair of the three-form (F 3 , H 3 ) fluxes. In both the models there is one combination of the RR axions which remains flat, and the dS solution is realized through the D-term effects induced by (non-)geometric fluxes, without which one can only have AdS solutions. Using flux scaling arguments we also discuss how to engineer a parametric control in these models, in the sense of realizing the respective AdS/dS solutions in large volume, weak string-coupling as well as large complex-structure regime. We also discuss open possibilities (e.g. about the unknown status on having the complete set of Bianchi identities) under which such tachyon free dS solutions may or may not be viable.

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The tadpole conjecture at large complex-structure

Cited by 40 publications

References 25 publications

The LVS Parametric Tadpole Constraint

The LVS Parametric Tadpole Constraint

The Desert and the Swampland

On stable type IIA de-Sitter vacua with geometric flux

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