Holographic scattering and non-minimal RT surfaces - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2024

Holographic scattering and non-minimal RT surfaces

Jacqueline Caminiti
  • Fonction : Auteur
Batia Friedman-Shaw
  • Fonction : Auteur
Alex May
  • Fonction : Auteur
Robert C Myers
  • Fonction : Auteur

Résumé

In the AdS/CFT correspondence, the causal structure of the bulk AdS spacetime is tied to entanglement in the dual CFT. This relationship is captured by the connected wedge theorem, which states that a bulk scattering process implies the existence of $O(1/G_N)$ entanglement between associated boundary subregions. In this paper, we study the connected wedge theorem in two asymptotically AdS$_{2+1}$ spacetimes: the conical defect and BTZ black hole geometries. In these settings, we find that bulk scattering processes require not just large entanglement, but also additional restrictions related to candidate RT surfaces which are non-minimal. We argue these extra relationships imply a certain CFT entanglement structure involving internal degrees of freedom. Because bulk scattering relies on sub-AdS scale physics, this supports the idea that sub-AdS scale locality emerges from internal degrees of freedom. While the new restriction that we identify on non-minimal surfaces is stronger than the initial statement of the connected wedge theorem, we find that it is necessary but still not sufficient to imply bulk scattering in mixed states.

Dates et versions

hal-04566501 , version 1 (02-05-2024)

Identifiants

Citer

Jacqueline Caminiti, Batia Friedman-Shaw, Alex May, Robert C Myers, Olga Papadoulaki. Holographic scattering and non-minimal RT surfaces. Journal of High Energy Physics, 2024, 10, pp.119. ⟨10.1007/JHEP10(2024)119⟩. ⟨hal-04566501⟩
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