On the distribution of stable de Sitter vacua
2013 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 3, 018- p.Article in journal (Refereed) Published
The possible existence of (meta-) stable de Sitter vacua in string theory is of fundamental importance. So far, there are no fully stable solutions where all effects are under perturbative control. In this paper we investigate the presence of stable de Sitter vacua in type II string theory with non-geometric fluxes. We introduce a systematic method for solving the equations of motion at the origin of moduli space, by expressing the fluxes in terms of the supersymmetry breaking parameters. As a particular example, we revisit the geometric type IIA compactifications, and argue that non-geometric fluxes are necessary to have (isotropically) stable de Sitter solutions. We also analyse a class of type II compactifications with non-geometric fluxes, and study the distribution of (isotropically) stable de Sitter points in the parameter space. We do this through a random scan as well as through a complementary analysis of two-dimensional slices of the parameter space. We find that the (isotropically) stable de Sitter vacua are surprisingly rare, and organise themselves into thin sheets at small values of the cosmological constant.
Place, publisher, year, edition, pages
2013. no 3, 018- p.
solution stability, symmetry breaking, compactification, string model, cosmological constant, moduli space
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-196392DOI: 10.1007/JHEP03(2013)018ISI: 000317521200018OAI: oai:DiVA.org:uu-196392DiVA: diva2:610047