2013/02/08 by Dirk Rathlev, Rathlev, Dirk
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1302.2130
32 pages, 1 figure; v2: a few references added, minor clarifications added
arxiv created 2013/05/07 · arxiv updated 2013/05/08
We study the possibility of obtaining metastable de Sitter vacua of heterotic string theory compactified on a Calabi-Yau threefold which are classical and simple in the Kähler moduli sector of the theory. For this, we exploit a known necessary condition on the Kähler potential in N=1-supergravity, which we, under the assumption that only moduli fields contribute to supersymmetry breaking, express in terms of a tensorial eigenvalue problem for the Calabi-Yau triple intersection tensor. For three-dimensional moduli spaces we are able to identify the discriminant of the Calabi-Yau intersection tensor in the analysis, generalizing a known result for two-dimensional moduli spaces. We also discuss explicit examples and possible generalizations.