Distributions of flux vacua

By Frederik Denef, Michael R Douglas. 2004

569 citations recorded by the source corpus.

We give results for the distribution and number of flux vacua of various types, supersymmetric and nonsupersymmetric, in IIB string theory compactified on Calabi-Yau manifolds. We compare this with related problems such as counting attractor points.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0478f13bdeeab9b2068abff25f994e11025f9f52

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Citations in the corpus

The Non-BPS black hole attractor equation (2006, methodology): “Our approach here is closely related to the one developed in [15] and used for the derivation of the “new attractors” in [12].”
Categorizing Different Approaches to the Cosmological Constant Problem (2004, background): “Several inflationary scenarios [229, 230, 231, 232], quantum cosmologies, [211, 233, 234, 228, 235] and string theory [213, 236, 237, 238, 239, 240] predict different domains of the universe, or even different universes, with widely varying values for the different coupling constants.”
Dynamics of warped compactifications and the shape of the warped landscape (2005, background): “An important part of the arguments of [49-53] is the independence of the Kahler potential on the fluxes.”
Building a better racetrack (2004, background): “While it seems to us that this should generally work, of course there is room for more subtleties, as we will briefly discuss below.”
Predictive Landscapes and New Physics at a TeV (2005, background): “Another are statistical arguments [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]—looking for features or correlations that are statistically favored in the landscape.”
Type IIA Moduli Stabilization (2005, background): “Proposals for constructing stabilized models in the 11D, heterotic and type I limits have also appeared [5, 6, 7, 8]. The range of constructions seems to be quite large, realizing the idea of a discretuum [9] and probably requiring statistical analysis to get a reasonable picture of the set of possi”
The F-theory geometry with most flux vacua (2015, methodology): “The counting problem of flux vacua was addressed in [5, 43–45], building on earlier insights from [46].”
Sinks in the landscape, Boltzmann brains and the cosmological constant problem (2006, background): “The total number of such vacuum states in string theory can be enormously large [6, 7, 8].”
Model building with $F$-theory (2008, background): “Following [42, 43], the number of supersymmetric solutions is then estimated to be given roughly by the volume of a ball in Euclidean space with dimension r given by the rank of this flux lattice, and a radius √ 2Λ1/2 that is set by global tadpole cancellation.”
Enumerating flux vacua with enhanced symmetries (2004, methodology): “In the case of complex conjugation, the enumera- tion of vacua with this symmetry requires a number-theoretic analysis going beyond the continuous methods of [25].”
Gaugino Condensation and Nonperturbative Superpotentials in Flux Compactifications (2004, background): “In fact, values much smaller than the 10 quoted in KKLT should arise – the fraction of vacua with e |W |(2) ≤ ǫ seems to fall off only as the first power of ǫ [18,20].”