# Counting flux vacua

@article{Ashok2004CountingFV, title={Counting flux vacua}, author={Sujay K. Ashok and Michael R. Douglas}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={060-060} }

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.

## 380 Citations

Vacua with Small Flux Superpotential.

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- 2020

This work describes a method for finding flux vacua of type IIB string theory in which the Gukov-Vafa-Witten superpotential is exponentially small, at large complex structure and weak string coupling.

Distributions of flux vacua

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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…

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We study the vacuum statistics of ensembles of M theory compactifications on G2 holonomy manifolds with fluxes, and of ensembles of Freund-Rubin vacua. We discuss similarities and differences between…

Enhanced Symmetries in Multiparameter Flux Vacua

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We give a construction of type IIB flux vacua with discrete R-symmetries and vanishing superpotential for hypersurfaces in weighted projective space with any number of moduli. We find that the…

Conifold Vacua with Small Flux Superpotential

- Mathematics, PhysicsFortschritte der Physik
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We introduce a method for finding flux vacua of type IIB string theory in which the flux superpotential is exponentially small and at the same time one or more complex structure moduli are stabilized…

Enumerating flux vacua with enhanced symmetries

- Mathematics
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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…

Finding all flux vacua in an explicit example

- Physics
- 2013

A bstractWe explicitly construct all supersymmetric flux vacua of a particular Calabi-Yau compactification of type IIB string theory for a small number of flux carrying cycles and a given D3-brane…

Generalized flux vacua

- Mathematics, Physics
- 2007

We consider type II string theory compactified on a symmetric T6/2 orientifold. We study a general class of discrete deformations of the resulting four-dimensional supergravity theory, including…

Type IIA Moduli Stabilization

- Mathematics
- 2005

We demonstrate that flux compactifications of type IIA string theory can classically stabilize all geometric moduli. For a particular orientifold background, we explicitly construct an infinite…

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