AdS/CFT Holography

The Poincaré disk models AdS₃ space. Geodesics (bulk curves) correspond to entanglement intervals in the boundary CFT via the Ryu–Takayanagi formula: S = length(γ)/4G.

Boundary points Entanglement width Bulk curvature ℓ

S_EE = (c/3) ln(2ℓ sin(πℓ_A/L)/ε) | RT: minimal geodesic in bulk