Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical O(N) model to order $\epsilon^4$ from analytic bootstrap   We compute, using the method of large spin perturbation theory, the anomalous
dimensions and OPE coefficients of all leading twist operators in the critical
$ O(N) $ model, to fourth order in the $ \epsilon $-expansion. This is done
fully within a bootstrap framework, and generalizes a recent result for the
CFT-data of the Wilson-Fisher model. The anomalous dimensions we obtain for the
$ O(N) $ singlet operators agree with the literature values, obtained by
diagrammatic techniques, while the anomalous dimensions for operators in other
representations, as well as all OPE coefficients, are new. From the results for
the OPE coefficients, we derive the $ \epsilon^4 $ corrections to the central
charges $ C_T $ and $ C_J $, which are found to be compatible with the known
large $ N $ expansions. Predictions for the central charge in the strongly
coupled 3d model, including the 3d Ising model, are made for various values of
$ N $, which compare favourably with numerical results and previous
predictions.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph