Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fusion, mass, and representation theory of the Yangian algebra   Based on the formulation of Drinfel'd, Chari, and Pressley, a technique to
analyze the structure of tensor products of the Yangian algebra representations
is presented. We then apply the results to the $S$-matrix theory of the
$G\otimes G$-invariant nonlinear $\sigma$-model ($G$-principal chiral model) by
Ogievetsky, Reshetikhin, and Wiegmann. We show how the physical data such as
mass formula, fusion angle, and the spins of integrals of motion can be
extracted from the Yangian highest weight representations.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph