Non-Relativistic Holography -- A Group-Theoretical Perspective

Understand

We give a review of some group-theoretical results related to non-relativistic holography.

• Our main playgrounds are the Schr\"odinger equation and the Schr\"odinger algebra.
• We first recall the interpretation of non-relativistic holography as equivalence between representations of the Schr\"odinger algebra describing bulk fields and boundary fields.
• One important result is the explicit construction of the boundary-to-bulk operators in the framework of representation theory, and that these operators and the bulk-to-boundary operators are intertwining operators.