Horizon causality from holographic scattering in asymptotically dS3

A bstract In the AdS/CFT correspondence, a direct scattering in the bulk may not have a local boundary analog. A nonlocal implementation on the boundary requires O (1 /G N ) mutual information. This statement is formalized by the connected wedge theorem, which can be proven using general relativity within AdS 3 but also argued for using 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 show that causality on the horizon induced from null infinities $$ \mathcal{I} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>I</mml:mi> </mml:math> ± is consistent with the theorem. Specifically, signals propagating in the static patch are associated with local operators at $$ \mathcal{I} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>I</mml:mi> </mml:math> ± . Our results suggest a novel connection between static patch holography and the dS/CFT correspondence.