The authors reformulate the equations of motion for AdS_D × I solutions in axio-dilaton gravity as a first-order autonomous dynamical system, identify fixed points and analytic solutions for arbitrary D including in type IIB, and discuss numerical flows in massive IIA.
An M-theory dS maximum from Casimir energies on Riemann-flat manifolds
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
abstract
We initiate the study of flux compactifications on non-supersymmetric Riemann-flat manifolds (RFM's) with Casimir energy. While curvature and other corrections are suppressed in RFM's, the inclusion of Casimir energies allows one to evade standard dS no-go theorems, and the absence of orientifolds or other singular sources means that the construction is completely captured by ten or eleven-dimensional supergravity. We obtain a fully explicit formula for the Casimir stress-energy in a general RFM, including its ten or eleven-dimensional profile. The Casimir energy localizes in particular loci of the RFM, which we call ``Casimir branes''. The tension of Casimir branes sometimes cancels exactly, due to a spacetime analog of worldsheet Atkin-Lehner symmetry. We use Casimir energies to construct an explicit $dS_5$ maximum solution of a flux compactification of M-theory on a specific 6-dimensional RFM. The resulting solution is scale-separated, has a vacuum energy of $10^{-8}$ in five-dimensional Planck units, the Hubble radius is $10^4$ Planck lengths, and the light fields have masses of order $H$. This is a fully explicit, top-down de Sitter maximum in M-theory, with precisely computable vacuum energy. While the solution is not parametric, it is under very good control: higher derivative and loop corrections to the vacuum energy are suppressed in powers of a small parameter $\delta V/V\sim 10^{-5}$, and M2 and M5-brane instantons are negligible. In short, the solution survives all known corrections. Nevertheless, it might be sensitive to more exotic ones, such as e.g. loops of 11d Planckian virtual black holes if there were a large enough number of them. We also extend the Ewald numerical method for lattice sums to arbitrary dimensions and develop an efficient numerical implementation.}
citation-role summary
background 4
citation-polarity summary
fields
hep-th 6roles
background 4polarities
background 4representative citing papers
Isolated critical points of the potential are located in Scherk-Schwarz M-theory compactifications to d=8,6,5,4 by fixed points under unbroken duality groups, plus a conjectured duality-covariant anomaly cancellation condition for Z_N orbifolds.
Perturbative string theory forbids de Sitter times closed manifold solutions under the assumption that the Euclidean sphere partition function receives a nonzero 1/G_N contribution.
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.
citing papers explorer
-
$\text{AdS}_D\times I$ solutions in axio-dilaton gravity
The authors reformulate the equations of motion for AdS_D × I solutions in axio-dilaton gravity as a first-order autonomous dynamical system, identify fixed points and analytic solutions for arbitrary D including in type IIB, and discuss numerical flows in massive IIA.
-
Isolated Critical Points for Scherk-Schwarz Compactifications of M-theory
Isolated critical points of the potential are located in Scherk-Schwarz M-theory compactifications to d=8,6,5,4 by fixed points under unbroken duality groups, plus a conjectured duality-covariant anomaly cancellation condition for Z_N orbifolds.
-
de Sitter in String Theory vs. Gibbons & Hawking
Perturbative string theory forbids de Sitter times closed manifold solutions under the assumption that the Euclidean sphere partition function receives a nonzero 1/G_N contribution.
-
Instabilities in scale-separated Casimir vacua
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
-
Dark energy from string theory: an introductory review
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.
-
Aspects of strings without spacetime supersymmetry
A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.