RECORD
Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
High Energy Physics - Theory · Submitted 5 Sep 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. In N=2 theories based on a quaternionic manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable, as a result of the peculiar properties of the geometry. In N=1 theories based on a Kahler manifold and a superpotential, de Sitter vacua can instead be metastable provided the geometry satisfies some constraint and the superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial requirement is then that the tachyon of the mother theory be projected out from the daughter theory, so that the original unstable vacuum is projected to a metastable vacuum. We study the circumstances under which this may happen and derive general constraints for metastability on the geometry and the gauging. We then study in full detail the simplest case of quaternionic manifolds of dimension four with at least one isometry, for which there exists a general parametrization, and study two types of truncations defining Kahler submanifolds of dimension two. As an application, we finally discuss the case of the universal hypermultiplet of N=2 superstrings and its truncations to the dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. | contribution 0.99 | 0.87 | 0.07 | hedged possibility 0.70 |
| s1 | In N=2 theories based on a quaternionic manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable, as a result of the peculiar properties of the geometry. | background 0.66 | 0.34 | 0.09 | asserted 1.00 |
| s2 | In N=1 theories based on a Kahler manifold and a superpotential, de Sitter vacua can instead be metastable provided the geometry satisfies some constraint and the superpotential can be freely adjusted. | background 0.83 | 0.23 | 0.10 | hedged possibility 0.77 |
| s3 | In N=2 to N=1 truncations, the crucial requirement is then that the tachyon of the mother theory be projected out from the daughter theory, so that the original unstable vacuum is projected to a metastable vacuum. | result 0.56 | 0.33 | 0.42 | asserted 0.99 |
| s4 | We study the circumstances under which this may happen and derive general constraints for metastability on the geometry and the gauging. | contribution 0.99 | 0.94 | 0.08 | asserted 0.81 |
| s5 | We then study in full detail the simplest case of quaternionic manifolds of dimension four with at least one isometry, for which there exists a general parametrization, and study two types of truncations defining Kahler submanifolds of dimension two. | contribution 0.62 | 0.93 | 0.04 | asserted 0.91 |
| s6 | As an application, we finally discuss the case of the universal hypermultiplet of N=2 superstrings and its truncations to the dilaton chiral multiplet of N=1 superstrings. | contribution 0.97 | 0.78 | 0.05 | unclear 0.70 |
| s7 | We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes. | result 0.54 | 0.75 | 0.46 | hedged possibility 0.74 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. In N=2 theories based on a quaternionic manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable, as a result of the peculiar properties of the geometry. In N=1 theories based on a Kahler manifold and a superpotential, de Sitter vacua can instead be metastable provided the geometry satisfies some constraint and the superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial requirement is then that the tachyon of the mother theory be projected out from the daughter theory, so that the original unstable vacuum is projected to a metastable vacuum. We study the circumstances under which this may happen and derive general constraints for metastability on the geometry and the gauging. We then study in full detail the simplest case of quaternionic manifolds of dimension four with at least one isometry, for which there exists a general parametrization, and study two types of truncations defining Kahler submanifolds of dimension two. As an application, we finally discuss the case of the universal hypermultiplet of N=2 superstrings and its truncations to the dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes.
Human review
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 1 sentence without a confident label
Uses its method or tool 1 paper
-
A detailed analysis of the structure of the mass matrix, the bounds that can be put on its eigenvalues and the constraints on the possibility of achieving metastable de Sitter vacua in this kind of theories can be performed by using the technology described in [ref] and will be presented elsewhere [ref] , along with some explicit examples.
Metastable spontaneous breaking of N=2 supersymmetry · Generalization to supergravity · 0.92
Cites it as background 2 papers
-
Constraints on gaugings for stability can be found in e.g. [ref] , while interesting criticisms on known stable de Sitter solutions with non-geometric fluxes were recently made in [ref] .] This situation however emphasizes that proving the presence of a systematic tachyon would require to take into account the compactness, which makes it even more difficult. * Solution 19: its value $η_V = -0.12141$ is unusually low in absolute value.
Tachyonic de Sitter solutions of 10d type II supergravities · Description · 0.80
-
Further details about the geometric properties of this space can be found for example in [ref] .
Simple metastable de Sitter vacua in N=2 gauged supergravity · Quaternionic-Kähler manifold · 0.99
What it cites · 23 sentences without a confident label
Cites as background 1 paper
-
[See also [ref] for a study of the rigid limit of this corrected moduli space.]
The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry · Exact metrics depending on a single coordinate · 0.88
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.