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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Stress tensor deformations in dS/CFT: mixed boundary conditions, spectrum flow and pseudo entropy

  • Feng Hao1
  • Hao Ouyang1
  • Xi-Yang Ran1
  1. 1Jilin University
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Abstract

A bstract : We formulate a local semiclassical source-response prescription for derivative-free stress-tensor deformations in dS/CFT. The metric flow determines the deformed boundary metric and stress tensor, encoding the deformation through mixed boundary conditions at future infinity. In Kerr-dS ₃ /CFT ₂ , the holographic charges reproduce the field-theory spectral flow, providing an internal consistency check. For general deformations in this class, we derive a holographic pseudo-entropy formula in terms of the flowed boundary data, nonperturbative in the deformation parameters within a specified complex-geodesic prescription. We evaluate this formula explicitly for the TT̅ T T ¯ and root- TT̅ T T ¯ deformations. On the non-rotating principal branch, an analytically continued replica calculation reproduces the interval-dependent corrections at first order in the couplings and at leading semiclassical order. Agreement of the interval-independent terms additionally requires a source-frame regulator identification.

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Cite

BibTeXRIS
BibTeX
@article{hao2026stress,
  title = {{Stress tensor deformations in dS/CFT: mixed boundary conditions, spectrum flow and pseudo entropy}},
  author = {Feng Hao and Hao Ouyang and Xi-Yang Ran},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)073},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)073},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Stress tensor deformations in dS/CFT: mixed boundary conditions, spectrum flow and pseudo entropy
AU  - Feng Hao
AU  - Hao Ouyang
AU  - Xi-Yang Ran
PY  - 2026
DA  - 2026/11/06
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)073
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)073
AB  - A bstract : We formulate a local semiclassical source-response prescription for derivative-free stress-tensor deformations in dS/CFT. The metric flow determines the deformed boundary metric and stress tensor, encoding the deformation through mixed boundary conditions at future infinity. In Kerr-dS ₃ /CFT ₂ , the holographic charges reproduce the field-theory spectral flow, providing an internal consistency check. For general deformations in this class, we derive a holographic pseudo-entropy formula in terms of the flowed boundary data, nonperturbative in the deformation parameters within a specified complex-geodesic prescription. We evaluate this formula explicitly for the TT̅ T T ¯ and root- TT̅ T T ¯ deformations. On the non-rotating principal branch, an analytically continued replica calculation reproduces the interval-dependent corrections at first order in the couplings and at leading semiclassical order. Agreement of the interval-independent terms additionally requires a source-frame regulator identification.
SN  - 1029-8479
ER  -