Intertwining operator realization of nonrelativistic holography
Abstract
We give a grouptheoretic interpretation of nonrelativistic holography as equivalence between representations of the Schrödinger algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the boundarytobulk operators in the framework of representation theory (without specifying any action). Further we show that these operators and the bulktoboundary operators are intertwining operators. In analogy to the relativistic case, we show that each bulk field has two boundary fields with conjugated conformal weights. These fields are related by another intertwining operator given by a twopoint function on the boundary. Analogously to the relativistic result of KlebanovWitten we give the conditions when both boundary fields are physical. Finally, we recover in our formalism earlier nonrelativistic results for scalar fields by Son and others.
 Publication:

Nuclear Physics B
 Pub Date:
 April 2010
 DOI:
 10.1016/j.nuclphysb.2009.10.019
 arXiv:
 arXiv:0906.0257
 Bibcode:
 2010NuPhB.828..581A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 15 pages, LATEX