New de Sitter solutions of 10d type IIB supergravity

Andriot, David; Marconnet, Paul; Wrase, Timm

doi:10.1007/jhep08(2020)076

Cited by 30 publications

(49 citation statements)

References 80 publications

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“…. The RdSC bound with this value of c d seems to be violated in some 4d examples with 10d supergravity uplifts [47,48], but these solutions do not lie in the classical regime of string theory, so they may be modified by stringy effects [49]. Furthermore, even if the RdSC bound with this value of c d is violated for the smallest eigenvalue of the Hessian, one might still violate the necessary conditions for eternal inflation upon summing over the other negative eigenvalues of the Hessian.…”

Section: Jhep08(2021)041mentioning

confidence: 93%

Dimensional reduction and (Anti) de Sitter bounds

Rudelius

2021

J. High Energ. Phys.

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Dimensional reduction has proven to be a surprisingly powerful tool for delineating the boundary between the string landscape and the swampland. Bounds from the Weak Gravity Conjecture and the Repulsive Force Conjecture, for instance, are exactly preserved under dimensional reduction. Motivated by its success in these cases, we apply a similar dimensional reduction analysis to bounds on the gradient of the scalar field potential V and the mass scale m of a tower of light particles in terms of the cosmological constant Λ, which ideally may pin down ambiguous O(1) constants appearing in the de Sitter Conjecture and the (Anti) de Sitter Distance Conjecture, respectively. We find that this analysis distinguishes the bounds $$ \left|\nabla V\right|/V\ge \sqrt{4/\left(d-2\right)} $$ ∇ V / V ≥ 4 / d − 2 , m ≲ |Λ|1/2, and m ≲ |Λ|1/d in d-dimensional Planck units. The first of these bounds is equivalent to the strong energy condition in Einstein-dilaton gravity and precludes accelerated expansion of the universe. It is almost certainly violated in our universe, though it may apply in asymptotic limits of scalar field space. The second bound cannot be satisfied in our universe, though it is saturated in supersymmetric AdS vacua with well-understood uplifts to 10d/11d supergravity. The third bound likely has a limited range of validity in quantum gravity as well, so it may or may not apply to our universe. However, if it does apply, it suggests a possible relation between the cosmological constant and the neutrino mass, which (by the see-saw mechanism) may further provide a relation between the cosmological constant problem and the hierarchy problem. We also work out the conditions for eternal inflation in general spacetime dimensions, and we comment on the behavior of these conditions under dimensional reduction.

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Section: Jhep08(2021)041mentioning

confidence: 93%

Dimensional reduction and (Anti) de Sitter bounds

Rudelius

2021

J. High Energ. Phys.

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“…Small values for the torsion can be also used, as in[42,43], to get de Sitter vacua. For constraints on geometric fluxes see e.g [44]…”

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confidence: 99%

Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds

2021

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We derive the 3D N = 1 superpotential for the closed string sector of type IIB supergravity on toroidal O5 orientifolds with co-calibrated G2 structure and RR background flux. We find that such compactifications can provide full closed string moduli stabilization on supersymmetric $$\hbox {AdS}_3$$ AdS 3 vacua, and once we include brane-supersymmetry-breaking we also find indication for the existence of classical 3D de Sitter solutions. The latter however are rather difficult to reconcile with the “shape” moduli stabilization and flux quantization. We also discuss the possibility of achieving scale separation in $$\hbox {AdS}_3$$ AdS 3 and $$\hbox {dS}_3$$ dS 3 vacua, but such effects seem to be hindered by the geometric flux quantization.

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“…Typically, these efforts involve the introduction of branes, orientifold planes, and fluxes [10]. One searches for particular stationary points of the action with positive cosmological constant, and asks whether the string coupling is small JHEP02(2021)050 and the compactification radii large at these points [30,31]. This, by itself, does not address the question of whether there is a systematic approximation.…”

Section: Searching For Stationary Points Of An Effective Actionmentioning

confidence: 99%

“…In other cases, one finds these and other pathologies -AdS rather than dS stationary points and instabilities. Searches involving broader sets of moduli [30,31] seem to allow at best a few isolated regions of parameter space where such solutions might exist. Whether these might exhibit a sensible perturbation expansion is currently an open question, but our results above suggest that the combination is a tall order.…”

Section: Jhep02(2021)050mentioning

confidence: 99%

Obstacles to constructing de Sitter space in string theory

Dine

Law-Smith

Sun

et al. 2021

J. High Energ. Phys.

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There have been many attempts to construct de Sitter space-times in string theory. While arguably there have been some successes, this has proven challenging, leading to the de Sitter swampland conjecture: quantum theories of gravity do not admit stable or metastable de Sitter space. Here we explain that, within controlled approximations, one lacks the tools to construct de Sitter space in string theory. Such approximations would require the existence of a set of (arbitrarily) small parameters, subject to severe constraints. But beyond this one also needs an understanding of big-bang and big-crunch singularities that is not currently accessible to standard approximations in string theory. The existence or non-existence of metastable de Sitter space in string theory remains a matter of conjecture.

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New de Sitter solutions of 10d type IIB supergravity

Cited by 30 publications

References 80 publications

Dimensional reduction and (Anti) de Sitter bounds

Dimensional reduction and (Anti) de Sitter bounds

Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds

Obstacles to constructing de Sitter space in string theory

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