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A LooKK at the Higuchi Bound

  • Dieter Lüst
  • Joaquin Masias
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Abstract

Massive spin 2 fields on de Sitter must satisfy the Higuchi bound, m2≥ 2H2. Compactifications of higher dimensional gravity to dS4 come with a tower of Kaluza-Klein gravitons whose masses are fixed by the internal geometry, so the bound becomes a constraint on the compactification. We propose that the KK gravitons of a consistent compactification never violate it, and test this in a few examples. On a circle stabilized by Casimir energy the bound holds unless the circle shrinks below the species scale, and on a warped interval with negative tension branes the tower is gapped at m2≥ 9/4H2 for any length of the interval. On group manifolds, we argue that if the internal curvature is not parametrically larger than the Hubble scale, the bound can apparently be violated by smooth deformations. The violation disappears once one promotes these deformations to moduli, which are immediately extremized when solving the 10d equations of motion.

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Cite

BibTeXRIS
BibTeX
@misc{lust2026lookk,
  title = {{A LooKK at the Higuchi Bound}},
  author = {Dieter Lüst and Joaquin Masias},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16103},
  eprint = {2609.16103},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16103},
}
RIS
TY  - UNPB
TI  - A LooKK at the Higuchi Bound
AU  - Dieter Lüst
AU  - Joaquin Masias
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.16103
UR  - https://arxiv.org/abs/2609.16103
AB  - Massive spin 2 fields on de Sitter must satisfy the Higuchi bound, m^2≥ 2H^2. Compactifications of higher dimensional gravity to dS_4 come with a tower of Kaluza-Klein gravitons whose masses are fixed by the internal geometry, so the bound becomes a constraint on the compactification. We propose that the KK gravitons of a consistent compactification never violate it, and test this in a few examples. On a circle stabilized by Casimir energy the bound holds unless the circle shrinks below the species scale, and on a warped interval with negative tension branes the tower is gapped at m^2≥ 9/4H^2 for any length of the interval. On group manifolds, we argue that if the internal curvature is not parametrically larger than the Hubble scale, the bound can apparently be violated by smooth deformations. The violation disappears once one promotes these deformations to moduli, which are immediately extremized when solving the 10d equations of motion.
ER  -