Bulk Reconstruction from Generalized Free Fields

Understand

We propose a generalized protocol for constructing a dual free bulk theory from any boundary model of generalized free fields (GFFs).

• To construct the bulk operators, we employ a linear ansatz similar to the Hamilton-Kabat-Liftschytz and Lowe (HKLL) construction.
• However, unlike the HKLL construction, our protocol relies only on boundary data with no presupposed form for the bulk equations of motion, so our reconstructed bulk is fully emergent.
• For a (1+1)d bulk, imposing the bulk operator algebra as well as a causal structure is sufficient to determine the bulk operators and dynamics uniquely up to an unimportant local basis choice.