de Sitter holography from a Lorentzian torus

• URL: http://arxiv.org/abs/2608.01729v1
• Date: Mon, 03 Aug 2026 05:53:29 GMT
• Title: de Sitter holography from a Lorentzian torus
• Abstract summary: We show that the quantum entanglement between conformal field theories (CFTs) living on the future and past boundaries can be described by Wick rotating to a geometry with two timelike directions.<n>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.
• Score: 0.027961972519572442
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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