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A dS4 maximum in M-theory from Casimir energies on Riemann-flat manifolds

  • Miquel Aparici
  • Bruno Valeixo Bento
  • Miguel Montero
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Abstract

We describe a fully explicit, four-dimensional, top-down de Sitter saddle, constructed via compactification of M-theory on the Riemann-flat manifold T7/ℤ8. The solution has a vacuum energy of 5.02· 10−10 MPl4, a hierarchy mKK/H∼ 102, and is under control with respect to higher loop and higher-derivative corrections. The solution has an internal manifold with a diameter of a few Planck lengths, and it may be unstable due to loops of virtual 11d black hole microstates. While the solution is the first example of a top-down dS maximum from Riemann-flat manifolds in four dimensions and is realised explicitly enough to compute the vacuum energy precisely and the spectrum of light fields, it is far from being phenomenologically viable. The solution also suggests several promising directions in the search for higher quality dS saddles in the Riemann-flat Landscape, which we describe.

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Cite

BibTeXRIS
BibTeX
@misc{aparici2026maximum,
  title = {{A $dS_4$ maximum in M-theory from Casimir energies on Riemann-flat manifolds}},
  author = {Miquel Aparici and Bruno Valeixo Bento and Miguel Montero},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.16169},
  eprint = {2609.16169},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16169},
}
RIS
TY  - UNPB
TI  - A dS_4 maximum in M-theory from Casimir energies on Riemann-flat manifolds
AU  - Miquel Aparici
AU  - Bruno Valeixo Bento
AU  - Miguel Montero
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.16169
UR  - https://arxiv.org/abs/2609.16169
AB  - We describe a fully explicit, four-dimensional, top-down de Sitter saddle, constructed via compactification of M-theory on the Riemann-flat manifold T^7/ℤ_8. The solution has a vacuum energy of 5.02· 10^−10 M_Pl^4, a hierarchy m_KK/H∼ 10^2, and is under control with respect to higher loop and higher-derivative corrections. The solution has an internal manifold with a diameter of a few Planck lengths, and it may be unstable due to loops of virtual 11d black hole microstates. While the solution is the first example of a top-down dS maximum from Riemann-flat manifolds in four dimensions and is realised explicitly enough to compute the vacuum energy precisely and the spectrum of light fields, it is far from being phenomenologically viable. The solution also suggests several promising directions in the search for higher quality dS saddles in the Riemann-flat Landscape, which we describe.
ER  -