Counting flux vacua

By S. Ashok, Michael R Douglas. 2003

455 citations recorded by the source corpus.

We develop a technique for computing expected numbers of vacua in gaussian ensembles of supergravity theories, and apply it to derive an asymptotic formula for the index counting all flux supersymmetric vacua with signs in Calabi-Yau compactification of type b string theory, which becomes exact in the limit of a large number of fluxes. This should give a reasonable estimate for actual numbers of vacua in string theory, for CY's with small b3.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a539f378f4f75e083cc969dae6d553c3fb4d4bea

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Citations in the corpus

Beauty is attractive: Moduli trapping at enhanced symmetry points (2004, background): “Thus, the attractive power of symmetry and of light particles may have implications for questions involving the distribution of vacua in string theory [37,38,39,40].”
The dS/dS Correspondence (2004, background): “In the examples of [10], one finds on the Coulomb branch of the system a product of unitary gauge groups with multifundamental matter degrees of freedom arising from string junctions [3], whose entropy matches that predicted in [45] assuming a roughly uniform distribution of cosmological constants.”
Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “In [543, 548] very powerful statistical methods were developed to determine to distribution of Type IIB flux vacua over the complex structure moduli space.”
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.”
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].”
The statistics of supersymmetric D-brane models (2004, background): “11/2004”
Fixing all moduli in a simple f-theory compactification (2005, background): “We note that following the estimates of [6,35], this model actually has O(1013) flux vacua, and most likely yields a minimal eK/2|W | ∼ 10−5.”
Distributions of flux vacua (2004, methodology): “Our starting point is to imagine that we are given a list of effective supergravity theories T1, T2, etc. all with the same configuration space (the space in which the chiral fields take values).”
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.”
Flux Compactifications on Calabi-Yau Threefolds (2003, background): “estimating the number of metastable string vacua [ 20 ].”