Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local renormalization group functions from quantum renormalization group
  and holographic bulk locality   The bulk locality in the constructive holographic renormalization group
requires miraculous cancellations among various local renormalization group
functions. The cancellation is not only from the properties of the spectrum but
from more detailed aspects of operator product expansions in relation to
conformal anomaly. It is remarkable that one-loop computation of the universal
local renormalization group functions in the weakly coupled limit of the
$\mathcal{N}=4$ super Yang-Mills theory fulfils the necessary condition for the
cancellation in the strongly coupled limit in its $SL(2,\mathbf{Z})$ duality
invariant form. From the consistency between the quantum renormalization group
and the holographic renormalization group, we determine some unexplored local
renormalization group functions (e.g. diffusive term in the beta function for
the gauge coupling constant) in the strongly coupled limit of the planar
$\mathcal{N}=4$ super Yang-Mills theory.

27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph