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PreprintarXiv licencearXiv

Non-Riemannian Holography: Long Strings and Soft Hair

  • Shaun D. Hampton
  • Hyun-Cheol Kim
  • Jae-Hyuk Oh
  • Jeong-Hyuck Park
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Abstract

We propose an O(D,D)-covariant holographic dictionary for two bulk completions of the Gomis--Ooguri boundary data: Riemannian AdS3 supported by pure NS--NS flux and an everywhere non-Riemannian string Newton--Cartan geometry. An O(D,D)-covariant Codazzi identity yields the boundary conservation law. Both branches share diagonal generalized-metric one-point functions, but only the non-Riemannian branch carries independent normalizable soft hair that couples to long strings without contributing to surface charges or the renormalized on-shell action. Supersymmetric non-Riemannian saddles admit arbitrary chiral Killing-spinor profiles, realizing "supersupersymmetry."

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Cite

BibTeXRIS
BibTeX
@misc{hampton2026nonriemannian,
  title = {{Non-Riemannian Holography: Long Strings and Soft Hair}},
  author = {Shaun D. Hampton and Hyun-Cheol Kim and Jae-Hyuk Oh and Jeong-Hyuck Park},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25669},
  eprint = {2610.25669},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25669},
}
RIS
TY  - UNPB
TI  - Non-Riemannian Holography: Long Strings and Soft Hair
AU  - Shaun D. Hampton
AU  - Hyun-Cheol Kim
AU  - Jae-Hyuk Oh
AU  - Jeong-Hyuck Park
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.25669
UR  - https://arxiv.org/abs/2610.25669
AB  - We propose an O(D,D)-covariant holographic dictionary for two bulk completions of the Gomis--Ooguri boundary data: Riemannian AdS_3 supported by pure NS--NS flux and an everywhere non-Riemannian string Newton--Cartan geometry. An O(D,D)-covariant Codazzi identity yields the boundary conservation law. Both branches share diagonal generalized-metric one-point functions, but only the non-Riemannian branch carries independent normalizable soft hair that couples to long strings without contributing to surface charges or the renormalized on-shell action. Supersymmetric non-Riemannian saddles admit arbitrary chiral Killing-spinor profiles, realizing "supersupersymmetry."
ER  -