The AdS/CFT correspondence

Equipment

• AdS disk model with bulk mesh and boundary ring
• Boundary-node-count slider
• Pause button

Procedure

1. Observe the bulk–boundary structure

   Look at the disk model: points near the center lie deep in the AdS bulk, the outer ring is the conformal boundary where the CFT "lives". Note the mesh cells are geometrically equal in the AdS metric even though they shrink toward the edge — hyperbolic distortion, like $ds^2 \propto (dr^2 + r^2 d\Omega^2)/(1-r^2)^2$ on the Poincaré disk.

2. Change the boundary resolution

   Drag the "Boundary nodes" slider from few to many: each boundary node acts like a cell of the CFT; the bulk mesh re-renders sharper — more boundary degrees of freedom encode more bulk information. This visualizes the area principle: black-hole entropy $S = A/(4G)$ scales with horizon area, not volume.

3. Use the holographic dictionary

   Press "Pause" and match entries: boundary operators ↔ bulk fields; bulk depth ↔ the CFT's RG energy scale. Predict: halving the boundary nodes should degrade deep-bulk resolution how? Test by lowering the slider and comparing the region near the center.

Simulation

Experiment history

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