Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equivalence of two definitions of conformal primary fields in d >
  2 dimensions   Conformal primary fields are of central importance in a conformal field
theory with $d>2$ spacetime dimensions. They can be defined in two ways. A
first definition involves commutators between the field and the generators of
the conformal group; a second definition characterizes a primary field
according to its behavior under a finite conformal transformation. In the
existing literature, the proof of the equivalence of the definitions is either
omitted or carried out with little details. In this paper we present a clear
and concise review of the two definitions and provide a simple and detailed
proof for their equivalence, using some minimal results from quantum field
theory and basic properties of conformal transformations.

10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math