Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Liouville Three-point Functions from Riemann-Hilbert Analysis   We study semiclassical correlation functions in Liouville field theory on a
two-sphere when all operators have large conformal dimensions. In the usual
approach, such computation involves solving the classical Liouville equation,
which is known to be extremely difficult for higher-point functions. To
overcome this difficulty, we propose a new method based on the Riemann-Hilbert
analysis, which is applied recently to the holographic calculation of
correlation functions in AdS/CFT. The method allows us to directly compute the
correlation functions without solving the Liouville equation explicitly. To
demonstrate its utility, we apply it to three-point functions, which are known
to be solvable, and confirm that it correctly reproduces the classical limit of
the DOZZ formula for quantum three-point functions. This provides good evidence
for the validity of this method.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
16
The categories of this paper are: stat