Parameters
MERA:
Multi-scale Entanglement Renormalization Ansatz (Vidal 2007). Tensor network with isometries (W) + disentanglers (U).
AdS/CFT connection:
MERA network ↔ spatial slice of AdS. Network layers ↔ RG scale/radial direction.
Entropy:
S(A) ~ c log|A| — each cut crosses O(log|A|) bonds, each contributing log(χ) bits.
Scale invariance:
Same tensors at each layer → critical system (CFT). c = O(χ²).
Multi-scale Entanglement Renormalization Ansatz (Vidal 2007). Tensor network with isometries (W) + disentanglers (U).
AdS/CFT connection:
MERA network ↔ spatial slice of AdS. Network layers ↔ RG scale/radial direction.
Entropy:
S(A) ~ c log|A| — each cut crosses O(log|A|) bonds, each contributing log(χ) bits.
Scale invariance:
Same tensors at each layer → critical system (CFT). c = O(χ²).