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arXiv · 2606.28814

CFT Dual for Timelike Geodesic in Lorentzian dS

Xing Huang·Chen-Te Ma
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Abstract

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

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Xing Huang, Chen-Te Ma. 2026-06-27. CFT Dual for Timelike Geodesic in Lorentzian dS. https://arxiv.org/abs/2606.28814

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