Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Conformal Block, Crossing Kernel and Multi-variable Hypergeometric
  Functions   In this note, we present an alternative representation of the conformal block
with external scalars in general spacetime dimensions in terms of a finite
summation over Appell fourth hypergeometric function ${\bf{F}}_4$. We also
construct its generalization to the non-local primary exchange operator with
continuous spin and its corresponding Mellin representation which are relevant
for Lorentzian spacetime. Using these results we apply the Lorentzian inversion
formula to compute so-called crossing kernel in general spacetime dimensions,
the resultant expression can be written as a double infinite summation over
certain Kamp\~{e} de F\~{e}riet hypergeometric functions with the correct
double trace operator singularity structures. We also include some
complementary computations in AdS space, demonstrating the orthogonality of
conformal blocks and performing the decompositions.

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The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs