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CFT Dual for Timelike Geodesic in Lorentzian dS

High Energy Physics - Theory 2026-06-27 v1

Abstract

We construct the Euclidean CFTd_{d} dual of a generic massive scalar in Lorentzian dSd+1_{d+1} via analytic continuation. The resulting PTPT defect defines a PTPT-invariant state that reproduces the Bunch-Davies Wightman function. However, the entanglement entropy captures only the real part of the central charge. This motivates a single-geodesic dual based on the timelike geodesic-integrated Wightman function, which yields the correlators between a bulk operator and a linear combination of an OPE block and its Casimir partner. We also derive the associated conformal defect and anomaly from an integral identity of the dS/CFT symmetry group.

Keywords

Cite

@article{arxiv.2606.28814,
  title  = {CFT Dual for Timelike Geodesic in Lorentzian dS},
  author = {Xing Huang and Chen-Te Ma},
  journal= {arXiv preprint arXiv:2606.28814},
  year   = {2026}
}

Comments

68 pages, 2 figures