De Sitter vacua from a D-term generated racetrack uplift

We study N = 1 supergravity with N > 1 chiral superfields in which one of the fields has a Kähler potential of exact no-scale type. Such systems admit de Sitter (dS) solutions in which supersymmetry is predominantly broken by the no-scale field, with only a small contribution to the breaking coming from the other fields. Metastable dS vacua of this type were recently shown to be achievable by the finetuning of an N × N sub-matrix of the Hessian matrix at the critical point. We show that perturbatively small deformations of the no-scale Minkowski vacuum into dS are only possible when the spectrum of the no-scale vacuum, besides the no-scale field, contain an additional massless mode. The no-scale structure allows for a decoupling of N −2 fields, and metastability can be achieved by the tuning of O(1) parameters. We illustrate this scenario in several examples, and derive a geometric condition for its realisation in type IIB string theory. Supergravities in which the complex structure moduli space is a symmetric space, such as the string theory inspired STU-models, are non-generic and realise a modified version of the scenario. For the STU-model with a single non-perturbative correction we present an explicit analytic family of dS solutions that includes examples with quantised fluxes satisfying the O3-plane tadpole condition.

Section: Jhep05(2015)081mentioning

confidence: 99%

Decoupling and de Sitter vacua in approximate no-scale supergravities

Marsh

Vercnocke

Wrase

2015

“…3 For further dS proposals involving balancing classical and quantum effects, see e.g. [58,59,52,[60][61][62][63][64][65][66][67][68][69][70]32], and the recent review [71]. For a new perspective on dark energy from F-theory, see [72,73].…”

Section: Introductionmentioning

confidence: 99%

Gaugino condensation and small uplifts in KKLT

Carta

Moritz

Westphal

2019

152

In the first part of this note we argue that ten dimensional consistency requirements in the form of a certain tadpole cancellation condition can be satisfied by KKLT type vacua of type IIB string theory. We explain that a new term of non-local nature is generated dynamically once supersymmetry is broken and ensures cancellation of the tadpole. It can be interpreted as the stress caused by the restoring force that the stabilization mechanism exerts on the volume modulus. In the second part, we explain that it is surprisingly difficult to engineer sufficiently long warped throats to prevent decompactification which are also small enough in size to fit into the bulk Calabi-Yau (CY). We give arguments that achieving this with reasonable amount of control may not be possible in generic CY compactifications while CYs with very non-generic geometrical properties might evade our conclusion.

“…Alternative proposals for constructing Minkowski or de Sitter vacua either deform the theory, as in the so-called Kähler uplift [27,28], or extend its field content, by e.g. the addition of open string fields and gauge dynamics [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. However, these solutions may ultimately only correspond to a particular branch of a much wider set of metastable de Sitter solutions, and it is possible that more general and simpler solutions remain to be discovered.…”

Section: Introductionmentioning

confidence: 99%

A new class of de Sitter vacua in type IIB large volume compactifications

Gallego

Marsh

Vercnocke

et al. 2017

We construct a new class of metastable de Sitter vacua of flux compactifications of type IIB string theory. These solutions provide a natural extension of the 'Large Volume Scenario' anti-de Sitter vacua, and can analogously be realised at parametrically large volume and weak string coupling, using standard N = 1 supergravity. For these new vacua, a positive vacuum energy is achieved from the inclusion of a small amount of fluxinduced supersymmetry breaking in the complex structure and axio-dilaton sector, and no additional 'uplift' contribution (e.g. from anti-branes) is required. We show that the approximate no-scale structure of the effective theory strongly influences the spectrum of the stabilised moduli: one complex structure modulus remains significantly lighter than the supersymmetry breaking scale, and metastability requires only modest amounts of tuning. After discussing these general results, we provide a recipe for constructing de Sitter vacua on a given compactification manifold, and give an explicit example of a de Sitter vacuum for the compactification on the Calabi-Yau orientifold realised in CP 4 11169 . Finally, we note that these solutions have intriguing implications for phenomenology, predicting no superpartners in the spectrum below ∼50 TeV, and no WIMP dark matter.