Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On factorizing $F$-matrices in $Y(sl_n)$ and $U_q(\hat{sl_n})$ spin
  chains   We consider quantum spin chains arising from $N$-fold tensor products of the
fundamental evaluation representations of $Y(sl_n)$ and $U_q(\hat{sl_n})$.
Using the partial $F$-matrix formalism from the seminal work of Maillet and
Sanchez de Santos, we derive a completely factorized expression for the
$F$-matrix of such models and prove its equivalence to the expression obtained
by Albert, Boos, Flume and Ruhlig. A new relation between the $F$-matrices and
the Bethe eigenvectors of these spin chains is given.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph