Holographic quantum tasks in the static patch

Abstract: In the AdS/CFT correspondence, direct scattering in the bulk may not have a local boundary analog. A nonlocal implementation on the boundary requires O(1/G​) mutual information. This statement is formalized by the connected wedge theorem, which can be proven using general relativity within AdS_3​ but also by applying quantum information theory on the boundary, suggesting that the theorem applies to any holographic duality. We examine scattering within the static patch of asymptotically dS_3 spacetime, which is conjectured to be described by a quantum theory on the stretched horizon in static patch holography. We prove that causality on the horizon should be induced from null infinities to maintain consistency with the theorem. Specifically, signals propagating in the static patch are associated with local operators at null infinity. These results suggest a novel connection between static patch holography and the dS/CFT correspondence.

cosmology and nongalactic astrophysicsgeneral relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the discipline

AnLy Strings and Fields online seminars