Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge Theory and Integrability, II   Starting with a four-dimensional gauge theory approach to rational, elliptic,
and trigonometric solutions of the Yang-Baxter equation, we determine the
corresponding quantum group deformations to all orders in $\hbar$ by deducing
their RTT presentations. The arguments we give are a mix of familiar ones with
reasoning that is more transparent from the four-dimensional gauge theory point
of view. The arguments apply most directly for $\mathfrak{gl}_N$ and can be
extended to all simple Lie algebras other than $\mathfrak{e}_8$ by taking into
account the self-duality of some representations, the framing anomaly for
Wilson operators, and the existence of quantum vertices at which several Wilson
operators can end.

8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys