α′-Corrections and de Sitter vacua - A mirage?

Weissenbacher, Matthias

doi:10.1016/j.physletb.2019.03.044

Cited by 11 publications

(23 citation statements)

References 40 publications

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“…which relates the two limits: indeed, for a reasonable N s ∼ O(1), we deduce g s ∼ (l s /L ) p−3 and N 2 f (l s /L ) 4 , the latter indicating a strong internal hierarchy. 7 With such values, every requirement and equations considered so far would be consistent.…”

Section: Conjecture 3: No Supergravity Solution With String Originmentioning

confidence: 51%

“…This solvmanifold is very likely to be compact: few constraints have to be imposed on the structure constants for it to admit a lattice, but given our conventions make the radii enter the structure constants, there is probably enough freedom to satisfy the (lattice) quantization conditions. 4 It is easy to verify that (3.41) is satisfied, in particular F 2 = − f 3 h/F 0 e 3 ∧ e 6 . We then pick the following values which allow to satisfy the above, in particular (3.40) and (3.36) with an appropriate λ value…”

Section: An Interesting Casementioning

confidence: 89%

“…Beyond the cosmological motivation, this is an interesting question per se, with other applications such as holography and the relation to higher spin theories. In this paper we address this question restricting ourselves to classical perturbative de Sitter string backgrounds, discarding other approaches [2,3] that involve string loop or non-perturbative contributions, α corrections, or further ingredients (more recent proposals include [4][5][6] ). A motivation for our restrictive setting is that it is simpler, the approximations required to reach a final effective theory are a priori easier to control.…”

Section: Introductionmentioning

confidence: 99%

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Open Problems on Classical de Sitter Solutions

Andriot

2019

Fortschritte der Physik

122

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Classical 10d string backgrounds with a 4d de Sitter space‐time, D‐brane and orientifold sources, are commonly believed to satisfy the following: 1.There is no classical de Sitter solution with parallel sources. 2.Classical de Sitter solutions with intersecting sources are unstable. 3.Classical de Sitter solutions cannot have at the same time a large internal volume, a small string coupling, a bounded number of orientifolds and quantized fluxes. These three conjectures are of particular relevance to the swampland program, and if true, they challenge the connection of string theory to cosmology. We restrict here to a standard solution ansatz for which the problem is well‐defined, and we still fail to prove analytically any of these conjectures. While developing new tools and obtaining new constraints, we identify remaining corners of parameter space where counter‐examples to these conjectures could be found.

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Section: Conjecture 3: No Supergravity Solution With String Originmentioning

confidence: 51%

Section: An Interesting Casementioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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Open Problems on Classical de Sitter Solutions

Andriot

2019

Fortschritte der Physik

122

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“…It will be interesting to see if some series that incorporates non-perturbative correction(s) can actually solve the ODE so that the leading perturbative part is consistent with the leading SUGRA result (2.12). It will be very interesting if this turns out to be true: this would mean that non-perturbative α corrections could at least in principle produce de Sitter solutions 18 .…”

Section: What Is An Acceptable F ?mentioning

confidence: 99%

“…4 For efforts to explicitly construct de Sitter in string theory using α -effects and/or higher derivative corrections, see eg. [18,19]. 5 This means that if a de Sitter exists, it will have to be non-perturbative [20,21] in α .…”

Section: Introductionmentioning

confidence: 99%

de Sitter, α′-corrections & duality invariant cosmology

Krishnan

2019

J. Cosmol. Astropart. Phys.

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Demanding O(d, d)-duality covariance, Hohm and Zwiebach have written down the action for the most general cosmology involving the metric, b-field and dilaton, to all orders in α in the string frame. Remarkably, for an FRW metric-dilaton ansatz the equations of motion turn out to be quite simple, except for the presence of an unknown function of a single variable. If this unknown function satisfies some simple properties, it allows de Sitter solutions in the string frame. In this note, we write down the Einstein frame analogues of these equations, and make some observations that make the system tractable. Perhaps surprisingly, we find that a necessary condition for de Sitter solutions to exist is that the unknown function must satisfy a certain second order non-linear ODE. The solutions of the ODE do not have a simple power series expansion compatible with the leading supergravity expectation. We discuss possible interpretations of this fact. After emphasizing that all (potential) string and Einstein frame de Sitter solutions have a running dilaton, we write down the most general cosmologies with a constant dilaton in string/Einstein frame: these have power law scale factors.

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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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α′-Corrections and de Sitter vacua - A mirage?

Cited by 11 publications

References 40 publications

Open Problems on Classical de Sitter Solutions

Open Problems on Classical de Sitter Solutions

de Sitter, α′-corrections & duality invariant cosmology

F-theory vacua and α′-corrections

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