Towards classical de Sitter solutions in string theory
By U. Danielsson, S. S. Haque, Gary Shiu, T. Riet. 2009
176 citations recorded by the source corpus.
We investigate the type II string effective potential at tree-level for de Sitter critical points. We derive necessary ingredients for having de Sitter solutions in orientifold models with fluxes. Furthermore, we examine some explicit O6 compactifications in IIA theory on manifolds with SU(3)-structure in the limit where the orientifold sources are smeared. In particular, we use a simple ten-dimensional Ansatz for four-dimensional de Sitter solutions and find the explicit criteria in terms of the torsion classes such that these de Sitter solutions solve the equations of motion. We have verified these torsion conditions for the cosets and the Iwasawa manifold and it turns out that the conditions cannot be fulfilled for these spaces. However this investigation allows us to find new non-supersymmetric AdS solutions for some cosets. It remains an open question whether there exist SU(3)-structure manifolds that satisfy the conditions on the torsion classes for the simple de Sitter solutions to exist.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f903a3969a24ad45a1530bac06131b520bb1f5b5
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Citations in the corpus
- De Sitter hunting in a classical landscape (2011, methodology): “This motivated one to construct classical de Sitter solutions directly in 10 dimensions [10, 19].”
- The Swampland: Introduction and Review (2019, background): “There are some proposed counter examples, see for example [471–473,475,478], to the de Sitter conjecture, which respect the refined de Sitter conjecture, but which still do not fully address some elements listed above.”
- F-term axion monodromy inflation (2014, background): “In [15], the φ potential was “ruled out” theoretically based on moduli stabilization consideration (having the simple mechanism [78] and its further simplifications [79–81] in mind, see [82] for a recent discussion).”
- What if string theory has no de Sitter vacua? (2018, background): “The smeared approximation allows one to verify that the critical point of the 4D potential solves the 10D equations of motion [38, 52, 101].”