Bulk Locality from Entanglement in Gauge/Gravity Duality

Understand

Gauge/gravity duality posits an equivalence between certain strongly coupled quantum field theories and theories of gravity with negative cosmological constant in a higher number of spacetime dimensions.

• The map between the degrees of freedom on the two sides is non-local and incompletely understood.
• I describe recent work towards characterizing this map using entanglement in the QFT, where near the dual AdS boundary, the classical energy density at a point in the bulk is stored in the relative entropies of boundary subregions whose homologous minimal surfaces pass through the bulk point.
• I also derive bulk classical energy conditions near the AdS boundary from entanglement inequalities in the CFT.