Distributions of nonsupersymmetric flux vacua

By Frederik Denef, Michael R Douglas. 2004

269 citations recorded by the source corpus.

We continue the study of the distribution of nonsupersymmetric flux vacua in IIb string theory compactified on Calabi-Yau manifolds, as in hep-th/0404116. We show that the basic structure of this problem is that of finding eigenvectors of the matrix of second derivatives of the superpotential, and that many features of the results are determined by features of the generic ensemble of such matrices, the CI ensemble of Altland and Zirnbauer originating in mesoscopic physics. We study some simple examples in detail, exhibiting various factors which can favor low or high scale supersymmetry breaking.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9d09a46b232832c7c37273feb749e4abb0aa4428

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Citations in the corpus

Enumerating flux vacua with enhanced symmetries (2004, methodology): “It has been further refined, applied and tested in [26,27,28,29,30,31].”
One in a Billion: MSSM-like D-Brane Statistics (2005, unknown): “[11–23].”
Systematics of moduli stabilisation in Calabi-Yau flux compactifications (2005, background): “However, one can argue that true minima can occur in many-modulus models [23].”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, unknown): “5) for phenomenological applications [36–38].”
Flux compactifications in string theory: A Comprehensive review (2005, methodology): “Figure 2: Values of τ for rigid CY flux vacua with N∗ = 150, (Z,F0) = (1, i) , taken from Ref.[31].”
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.”
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.”
Les Houches Lectures on Constructing String Vacua (2008, methodology): “Then it was shown in [112], and more intuitively explained in [118], that for generic flux vacua the distribution of supersymmetry breaking scales F and cosmological constants goes as dN vac(F; )/ F dF d : (6.”
De Sitter vacua in no-scale supergravities and Calabi-Yau string models (2008, background): “[33] to explore the statistics of supersymmetry breaking vacua in certain classes of string models.”
Inflation and String Theory (2014, methodology): “To apply random matrix theory to vacuum statistics, following [48, 449, 454,458], we first define a random supergravity as a four-dimensional N = 1 supergravity theory whose superpotential W and Kähler potential K are random functions, in the sense that the components of their covariant derivatives,”
Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking (2005, background): “This has been carried out in several articles [11, 22, 23] (see also [24, 25]).”
Fixing all moduli in a simple f-theory compactification (2005, background): “Since such vacua are generic and their number scales like F 6 [36,41], the number of such dS vacua with small enough F-terms to admit parametric control is expected to be very large, although such models may be a small fraction of all candidate vacua.”