Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tau-function for discrete sine-Gordon equation and quantum R-matrix   We prove that the tau-function of the integrable discrete sine-Gordon model
apart from the "standard" bilinar identities obeys a number of "non-standard"
ones. They can be combined into a bivector 3-dimensional difference equation
which is shown to contain Hirota's difference analogue of the sine-Gordon
equation and both auxiliary linear problems for it. We observe that this
equation is most naturally written in terms of the quantum R-matrix for the XXZ
spin chain and looks then like a relation of the "vertex-face correspondence"
type.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex