Intertwining Operator Realization of anti de Sitter Holography

Understand

We give a group-theoretic interpretation of relativistic holography as equivalence between representations of the anti de Sitter algebra describing bulk fields and boundary fields.

• Our main result is the explicit construction of the boundary-to-bulk operators for arbitrary integer spin the framework of representation theory.
• Further we show that these operators and the bulk-to-boundary operators are intertwining operators.
• In analogy to the de Sitter case, we show that each bulk field has two boundary (shadow) fields with conjugated conformal weights.