de Sitter holography from a Lorentzian torus

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.

arXiv:2608.01729 [hep-th]

(or arXiv:2608.01729v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2608.01729 Focus to learn more arXiv-issued DOI via DataCite

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