Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Y-system for the $AdS_5/CFT_4$ correspondence   We study the analytic properties of the $AdS_5/CFT_4$ Y functions. It is
shown that the TBA equations, including the dressing factor, can be obtained
from the Y-system with some additional information on the square-root
discontinuities across semi-infinite segments in the complex plane. The
Y-system extended by the discontinuity relations constitutes a fundamental set
of local functional constraints that can be easily transformed into integral
form through Cauchy's theorem.

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
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat