Enumerating flux vacua with enhanced symmetries

By Oliver DeWolfe, A. Giryavets, S. Kachru, Washington Taylor. 2004

151 citations recorded by the source corpus.

We study properties of flux vacua in type IIB string theory in several simple but illustrative models. We initiate the study of the relative frequencies of vacua with vanishing superpotential W = 0 and with certain discrete symmetries. For the models we investigate we also compute the overall rate of growth of the number of vacua as a function of the D3-brane charge associated to the fluxes, and the distribution of vacua on the moduli space. The latter two questions can also be addressed by the statistical theory developed by Ashok, Denef and Douglas, and our results are in good agreement with their predictions. Analysis of the first two questions requires methods which are more number-theoretic in nature. We develop some elementary techniques of this type, which are based on arithmetic properties of the periods of the compactification geometry at the points in moduli space where the flux vacua are located.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a17c3d5d281ff6ef98bc6058d0fc9b5c9f4bcfd4

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Citations in the corpus

Generalized flux vacua (2006, unknown): “In previous analogous work on the statistics of IIB flux compactifications [28, 36, 37] only a finite number of solutions were compatible with a fixed tadpole bound L.”
Nongeometric flux compactifications (2005, background): “In [33], a family of supersymmetric IIB vacua on the symmetric torus with W = 0 was identified, corresponding to flux compactifications with vanishing cosmological constant.”
Les Houches Lectures on Constructing String Vacua (2008, background): “However it may happen that W = 0 “accidentally” even for isolated vacua [66].”
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.”
Systematics of moduli stabilisation in Calabi-Yau flux compactifications (2005, result): “These analytic results have been successfully compared with numerical studies of moduli stabilisation using Monte Carlo simulations to generate fluxes [13, 14], and the statistical approach has been extended to other questions [15, 16].”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, unknown): “55) and K0,W0 are preserved [448].”
Fixing all moduli in a simple f-theory compactification (2005, background): “3) were studied in [64] and in fact completely classified in [38] (while powerful analytical results which are applicable both to this model and to a wider class were also derived in [81], where the connection between flux vacua and the attractor mechanism was exploited).”
Distributions of nonsupersymmetric flux vacua (2004, background): “Recently DeWolfe et al [14] have studied the problem of ﬁnding supersymmetric ﬂux vacua with W = 0 in some detail and indeed ﬁnd enhanced numbers of W = 0 vacua at subleading order in L in simple examples.”
Lectures on nongeometric flux compactifications (2007, background): “[14, 39 ]. Let the coordinates on the T 6 be x i , i = 1,...,6, such that each coordinate has period 1, x i ∼ x i + 1. We orientifold this T 6 by the action of Z2(−1) FL , where is worldsheet parity, Z2 takes x i → −x i , and (−1) FL gives a”
Inflation and String Theory (2014, background): “137) in explicit flux compactifications on Calabi-Yau three-folds was obtained in [455,456], building on [457].”