Loading…
Effective conformal theory and the flat-space limit of AdS
We develop the idea of an effective conformal theory describing the low-lying spectrum of the dilatation operator in a CFT. Such an effective theory is useful when the spectrum contains a hierarchy in the dimension of operators, and a small parameter whose role is similar to that of 1/ N in a large...
Saved in:
Published in: | The journal of high energy physics 2011-07, Vol.2011 (7), Article 23 |
---|---|
Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | We develop the idea of an effective conformal theory describing the low-lying spectrum of the dilatation operator in a CFT. Such an effective theory is useful when the spectrum contains a hierarchy in the dimension of operators, and a small parameter whose role is similar to that of 1/
N
in a large
N
gauge theory. These criteria insure that there is a regime where the dilatation operator is modified perturbatively. Global AdS is the natural framework for perturbations of the dilatation operator respecting conformal invariance, much as Minkowski space naturally describes Lorentz invariant perturbations of the Hamiltonian. Assuming that the lowest-dimension single-trace operator is a scalar,
, we consider the anomalous dimensions,
γ
(
n
,
l
), of the double-trace operators of the form
. Purely from the CFT we find that perturbative unitarity places a bound on these dimensions of |
γ
(
n
,
l
)| |
---|---|
ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP07(2011)023 |