De Sitter hunting in a classical landscape

By U. Danielsson, S. S. Haque, Paul Koerber, Gary Shiu, T. Riet, T. Wrase. 2011

145 citations recorded by the source corpus.

We elaborate on the construction of de Sitter solutions from IIA orientifolds of SU(3)‐structure manifolds that solve the 10‐dimensional equations of motion at tree‐level in the approximation of smeared sources. First we classify geometries that are orbifolds of a group manifold covering space which, upon the proper inclusion of O6 planes, can be described within the framework of 𝒩 = 1 supergravity in 4D. Then we scan systematically for de Sitter solutions, obtained as critical points of an effective 4D potential. Apart from finding many new solutions we emphasize the challenges in constructing explicit classical de Sitter vacua, which have sofar not been met. These challenges are interesting avenues for further research and include finding solutions that are perturbatively stable, satisfy charge and flux quantization, and have genuine localized (versus smeared) orientifold sources. This paper intends to be self‐contained and pedagogical, and thus can serve as a guide to the necessary technical tools required for this line of research. In an appendix we explain how to study flux and charge quantization in the presence of a non‐trivial H‐field using twisted homology.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/44c2a7ee17e5f0446449635adf4ae97539b3ac28

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

1. Eran Palti
2. Gary Shiu
3. F. Marchesano
4. A. Uranga
5. U. Danielsson
6. D. Andriot
7. T. Riet
8. A. Betz

In Nuclear and High Energy Physics

1. Eran Palti
2. Gary Shiu
3. F. Marchesano
4. A. Uranga
5. Ralph Blumenhagen
6. U. Danielsson
7. D. Andriot
8. T. Riet

In Statistical and Nonlinear Physics

1. Eran Palti
2. F. Marchesano
3. Gary Shiu
4. U. Danielsson
5. D. Andriot
6. A. Uranga
7. T. Riet
8. Sumit K. Garg

Citations in the corpus

• 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).”
• Bounds on slow roll and the de Sitter Swampland (2018, background): “, [30, 32]) in the literature that construct de Sitter solutions in explicit tree level constructions, that do seem to superficially violate the bound suggested in [17].”
• What if string theory has no de Sitter vacua? (2018, background): “The most extensive scan of models [51] (order 1000) always gave at least one tachyon among 7 real scalars.”
• The Swampland: Introduction and Review (2019, background): “62 In such cases, there is no general no-go theorem against de Sitter vacua, and there have been many searches for such vacua [464, 468–500].”
• On the de Sitter swampland criterion (2018, background): “Almost all solutions [5–9] have been found in type IIA with intersecting O6 (and possibly D6), also viewed as orbifold actions: these solutions are summarized in [9].”
• β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, background): “A larger set of interesting Lie group based manifolds is described in [71].”
• DE SITTER MUSINGS (2012, background): “Whenever a de Sitter vacuum has been argued to exist in string theory it has been found to be metastable [130, 129, 131, 132, 133].”