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Peer-reviewedCC BY 4.0Journal of High Energy Physics

De Sitter in string theory vs. Gibbons & Hawking

  • Yoav Zigdon1
  1. 1Tel Aviv University
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Abstract

A bstract : This paper corroborates a statement that perturbative string theory does not admit a solution whose spacetime metric is de Sitter times a closed manifold, to all orders in the α ′ and g s expansions, under the assumption that the logarithm of the sphere partition function of Euclidean quantum gravity receives a nonzero contribution proportional to 1/GN 1 G N in a saddle-point approximation. This assumption is related to the Gibbons-Hawking proposal that the entropy of the cosmological horizon of the static patch is A/4GN A 4 G N . Evidence for the statement comes from independent approaches to the effective action of string theory, all of which agree that the tree-level action vanishes for closed Euclidean target-space solutions. One possible implication is that the state of the Universe will depart from an asymptotically de Sitter spacetime.

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Cite

BibTeXRIS
BibTeX
@article{zigdon2026sitter,
  title = {{De Sitter in string theory vs. Gibbons & Hawking}},
  author = {Yoav Zigdon},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)081},
  url = {https://link.springer.com/10.1007/JHEP10(2026)081},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - De Sitter in string theory vs. Gibbons & Hawking
AU  - Yoav Zigdon
PY  - 2026
DA  - 2026/10/08
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)081
UR  - https://link.springer.com/10.1007/JHEP10(2026)081
AB  - A bstract : This paper corroborates a statement that perturbative string theory does not admit a solution whose spacetime metric is de Sitter times a closed manifold, to all orders in the α ′ and g s expansions, under the assumption that the logarithm of the sphere partition function of Euclidean quantum gravity receives a nonzero contribution proportional to 1/G_N 1 G N in a saddle-point approximation. This assumption is related to the Gibbons-Hawking proposal that the entropy of the cosmological horizon of the static patch is A/4G_N A 4 G N . Evidence for the statement comes from independent approaches to the effective action of string theory, all of which agree that the tree-level action vanishes for closed Euclidean target-space solutions. One possible implication is that the state of the Universe will depart from an asymptotically de Sitter spacetime.
SN  - 1029-8479
ER  -