Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connection problem for the sine-Gordon/Painlev\'e III tau function and
  irregular conformal blocks   The short-distance expansion of the tau function of the radial
sine-Gordon/Painlev\'e III equation is given by a convergent series which
involves irregular $c=1$ conformal blocks and possesses certain periodicity
properties with respect to monodromy data. The long-distance irregular
expansion exhibits a similar periodicity with respect to a different pair of
coordinates on the monodromy manifold. This observation is used to conjecture
an exact expression for the connection constant providing relative
normalization of the two series. Up to an elementary prefactor, it is given by
the generating function of the canonical transformation between the two sets of
coordinates.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex