Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyakov-Mellin Bootstrap for AdS loops   We consider holographic CFTs and study their large $N$ expansion. We use
Polyakov-Mellin bootstrap to extract the CFT data of all operators, including
scalars, till $O(1/N^4)$. We add a contact term in Mellin space, which
corresponds to an effective $\phi^4$ theory in AdS and leads to anomalous
dimensions for scalars at $O(1/N^2)$. Using this we fix $O(1/N^4)$ anomalous
dimensions for double trace operators finding perfect agreement with
\cite{loopal} (for $\Delta_{\phi}=2$). Our approach generalizes this to any
dimensions and any value of conformal dimensions of external scalar field. In
the second part of the paper, we compute the loop amplitude in AdS which
corresponds to non-planar correlators of in CFT. More precisely, using CFT data
at $O(1/N^4)$ we fix the AdS bubble diagram and the triangle diagram for the
general case.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org