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de Sitter holography from a Lorentzian torus

2026/08/03 by Kosei Fujiki, Michitaka Kohara, Javier Moreno +2
Physics and Astronomy · #hep-th #gr-qc

paper · pdf

7 pages, 2 figures

arxiv created 2026/08/03 · arxiv updated 2026/08/04

Abstract

We show that the quantum entanglement between the conformal field theories (CFTs) living on the future and past boundaries in the de Sitter/conformal field theory (dS/CFT) correspondence can be described by Wick rotating to a geometry with two timelike directions. We propose a new realization of the dS/CFT correspondence in which quantum gravity on this two-time geometry is holographically dual to a CFT defined on a Lorentzian torus. We show that this duality reproduces key features of dS holography, including the dS entropy, correlation functions, and pseudoentropy. Finally, by extending the framework of path-integral optimization, we explain how dS spacetime emerges from the CFT on the Lorentzian torus.

Citations