Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classifying nearest-neighbour interactions and deformations of AdS   We classify all regular solutions of the Yang-Baxter equation of eight-vertex
type. Regular solutions correspond to spin chains with nearest-neighbour
interactions. We find a total of four independent solutions. Two are related to
the usual six- and eight-vertex models that have R-matrices of difference form.
We find two completely new solutions of the Yang-Baxter equation, which are
manifestly of non-difference form. These new solutions contain the S-matrices
of the AdS2 and AdS3 integrable models as a special case. Consequently, we can
classify all possible integrable deformations of eight-vertex type of these
holographic integrable systems.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex