KKLT and the Swampland Conjectures

Blumenhagen, Ralph; Brinkmann, Max; Klaewer, Daniel; Makridou, Andriana; Schlechter, Lorenz

doi:10.22323/1.376.0158

“…In ref. [87] it is claimed that the AdS step of KKLT is consistent with the ADC under certain circumstances. In particular, if the KKLT requirement |W 0 | 1 is obtained via a strongly warped throat close to a conifold point (this is the throat where the D3's would be located), then it is claimed that there is a KK tower associated to this singularity and that its scale is…”

Section: Jhep08(2021)092mentioning

confidence: 99%

A gravitino distance conjecture

Castellano

¹

,

Font

²

,

Herráez

³

et al. 2021

J. High Energ. Phys.

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We conjecture that in a consistent supergravity theory with non-vanishing gravitino mass, the limit m3/2 → 0 is at infinite distance. In particular one can write Mtower ~ $$ {m}_{3/2}^{\delta } $$ m 3 / 2 δ so that as the gravitino mass goes to zero, a tower of KK states as well as emergent strings becomes tensionless. This conjecture may be motivated from the Weak Gravity Conjecture as applied to strings and membranes and implies in turn the AdS Distance Conjecture. We test this proposal in classical 4d type IIA orientifold vacua in which one obtains a range of values $$ \frac{1}{3} $$ 1 3 ≤ δ ≤ 1. The parameter δ is related to the scale decoupling exponent in AdS vacua and to the α exponent in the Swampland Distance Conjecture for the type IIA complex structure. We present a general analysis of the gravitino mass in the limits of moduli space in terms of limiting Mixed Hodge Structures and study in some detail the case of two-moduli F-theory settings. Moreover, we obtain general lower bounds δ ≥$$ \frac{1}{3},\frac{1}{4} $$ 1 3 , 1 4 for Calabi-Yau threefolds and fourfolds, respectively. The conjecture has important phenomenological implications. In particular we argue that low-energy supersymmetry of order 1 TeV is only obtained if there is a tower of KK states at an intermediate scale, of order 108 GeV. One also has an upper bound for the Hubble constant upon inflation H ≲ $$ {m}_{3/2}^{\delta }{M}_{\mathrm{P}}^{\left(1-\delta \right)} $$ m 3 / 2 δ M P 1 − δ .

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“…Moreover, it has been questioned whether the 4D description of the KKLT AdS minimum does really uplift to a full 10D solution of string theory. [ 4–13 ] Another important point is whether the effective action that is presumed to describe the strongly warped regime is really under control. Based on earlier work, [ 14 ] this question has been addressed recently.…”

Section: Introductionmentioning

confidence: 99%

Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold

Álvarez-García

¹

,

Blumenhagen

²

,

Brinkmann

³

et al. 2020

Fortschritte der Physik

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We generalize the recently proposed mechanism by Demirtas, Kim, McAllister and Moritz [1] for the explicit construction of type IIB flux vacua with |W 0 | ≪ 1 to the region close to the conifold locus in the complex structure moduli space. For that purpose tools are developed to determine the periods and the resulting prepotential close to such a codimension one locus with all the remaining moduli still in the large complex structure regime. As a proof of principle we present a working example for the Calabi-Yau manifold ℙ 1,1,2,8,12. [24]

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“…For J-class A limits, we thus arrive at a model-independent and non-vanishing contribution to Re T α whose precise pre-factor depends on the value for α 2 and κ 5 . For J-class B limits we also find a model independent result, but this time the leading contribution in λ is vanishing, 32 J-class B:…”

Section: Jhep03(2021)252mentioning

confidence: 51%

“…Quantum log corrections to swampland conjectures have been studied in[31,32] 3. For a discussion of infinite distance limits in the complex structure moduli space of Calabi-Yau fourfolds in the context of the swampland conjectures, see[33].…”

mentioning

confidence: 99%

Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture

Klaewer

¹

,

Lee

²

,

Weigand

³

et al. 2021

J. High Energ. Phys.

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We study quantum corrections in four-dimensional theories with N = 1 supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to decompactification of the theory or result in a weakly coupled string theory. We verify this conjecture in the framework of N = 1 supersymmetric F-theory compactifications to four dimensions including perturbative α′ as well as non-perturbative corrections. After proving uniqueness of the emergent critical string at the classical level, we show that quantum corrections obstruct precisely those limits in which the scale of the emergent critical string would lie parametrically below the Kaluza-Klein scale. Limits in which the tension of the asymptotically tensionless string sits at the Kaluza-Klein scale, by contrast, are not obstructed.In the second part of the paper we study the effect of quantum corrections for the Weak Gravity Conjecture away from the strict weak coupling limit. We propose that gauge threshold corrections and mass renormalisation effects modify the super-extremality bound in four dimensions. For the infinite distance limits in F-theory the classical super-extremality bound is generically satisfied by a sublattice of states in the tower of excitations of an emergent heterotic string. By matching the F-theory α′-corrections to gauge threshold corrections of the dual heterotic theory we predict how the masses of this tower must be renormalised in order for the Weak Gravity Conjecture to hold at the quantum level.

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KKLT and the Swampland Conjectures

Cited by 15 publications

References 49 publications

A gravitino distance conjecture

A gravitino distance conjecture

Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold

Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture

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