CFT Dual for Timelike Geodesic in Lorentzian dS
High Energy Physics - Theory
2026-06-27 v1
Abstract
We construct the Euclidean CFT dual of a generic massive scalar in Lorentzian dS via analytic continuation. The resulting defect defines a -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