CFT Dual for Timelike Geodesic in Lorentzian dS

Xing Huang; Chen-Te Ma

paper

CFT Dual for Timelike Geodesic in Lorentzian dS

arXiv:2606.28814

Abstract

We construct the Euclidean CFT $_{d}$ dual of a generic massive scalar in Lorentzian dS $_{d + 1}$ via analytic continuation. The resulting $P T$ defect defines a $P T$ -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.

69 pages, 2 figures, minor changes, reference added