2023/10/25 by Narovlansky, Vladimir, Verlinde, Herman · 11 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2310.16994
We propose a new model of low dimensional de Sitter holography in the form of a pair of double-scaled SYK models at infinite temperature coupled via an equal energy constraint HL=HR. As a test of the duality, we compute the two-point function between two dressed SYK operators \cal OΔ that preserve the constraint. We find that in the large N limit, the two-point function precisely matches with the Green's function of a massive scalar field of mass squared m2 = 4Δ(1-Δ) in a 3D de Sitter space-time with radius RdS/GN = 4πN/p2. In this correspondence, the SYK time is identified with the proper time difference between the two operators. We introduce a candidate gravity dual of the doubled SYK model given by a JT/de Sitter gravity model obtained via a circle reduction from 3D Einstein-de Sitter gravity. We comment on the physical meaning of the finite de Sitter temperature and entropy.