Flux Compactifications on Calabi-Yau Threefolds

By A. Giryavets, S. Kachru, P. Tripathy, S. Trivedi. 2003

169 citations recorded by the source corpus.

The presence of RR and NS three-form fluxes in type IIB string compactification on a Calabi-Yau orientifold gives rise to a nontrivial superpotential W for the dilaton and complex structure moduli. This superpotential is computable in terms of the period integrals of the Calabi-Yau manifold. In this paper, we present explicit examples of both supersymmetric and nonsupersymmetric solutions to the resulting 4d {Nu} = 1 supersymmetric no-scale supergravity, including some nonsupersymmetric solutions with relatively small values of W. Our examples arise on orientifolds of the hypersurfaces in WP{sub 1,1,1,1,4}{sup 4} and WP{sub 1,1,2,2,6}{sup 4}. They serve as explicit illustrations of several of the ingredients which have played a role in the recent proposals for constructing de Sitter vacua of string theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c5600de16290b2986b27c51eb3d0765a896368d7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem (2004, methodology): “A key ingredient in this argument is once again the fact that the possible values of W0 form a “discretuum” [39, 35, 36, 37] and thus can be tuned with high precision.”
Dynamics of warped compactifications and the shape of the warped landscape (2005, background): “Given the possibly profound implications arising from the study of flux vacua and warped compactifications (a partial list references includes [9-15]; useful reviews include[16,17]), it is particularly important to understand the space of such compactifications and their dynamics.”
Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking (2005, background): “The periods are known [29] and this can be done straightforwardly as in [30, 31, 32].”
Building an explicit de Sitter (2012, background): “In this case, discrete symmetries of the complex structure moduli space and a specific choice of the three-form fluxes allow us to fix all the complex structure explicitly along the lines of [49].”
Enumerating flux vacua with enhanced symmetries (2004, background): “ar X iv :h ep -t h/ 04 11 06 1v 2 6 D ec 2 00 4 hep-th/0411061 MIT-CTP-3545, PUPT-2142 SU-ITP-04/40, SLAC-PUB-10801 Enumerating Flux Vacua with Enhanced Symmetries Oliver DeWolfea1, Alexander Giryavetsb2*, Shamit Kachrub3 and Washington Taylorc4 a Department of Physics Princeton University Princeton”
D-terms and F-terms from D7-brane fluxes (2005, background): “The German Science Foundation, European RTN Program MRTN-CT2004-503369 and the DAAD – the German Academic Exchange Service.”
The effective action of D7-branes in N=1 Calabi-Yau orientifolds (2004, unknown): “This N = 1 is then spontaneously broken by including background fluxes in the orientifold bulk [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22].”
Loop corrections to volume moduli and inflation in string theory (2004, background): “To deal with the U(1) case, we choose the generators specifying the background fields to lie in the U(1) factors.”
The statistics of supersymmetric D-brane models (2004, background): “Moreover, with the study of flux compactifications [3,4,5,6,7] some additional progress was made: First, flux compactifications allowed to solve some of the problems the former purely geometric models notoriously had.”
Systematics of moduli stabilisation in Calabi-Yau flux compactifications (2005, background): “The necessary periods have been computed in [22] and appropriate fluxes and solutions to (42) could be found straightforwardly along the lines of [13][14][25].”
Les Houches Lectures on Constructing String Vacua (2008, background): “You can find more simple, explicit examples of (bulk) flux vacu in [67,68].”
Distributions of flux vacua (2004, background): “1.1 Distributions of vacua 3 1.2 Approximate distributions of vacua 4 1.3 Other types of vacuum 6 1.4 Index densities 7 1.5 Ensembles of flux vacua 9”
The Non-BPS black hole attractor equation (2006, background): “We closely follow the notation of [8] and [22].”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, methodology): “A mechanism to achieve this was suggested and applied in [22, 23, 26].”