Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New R-matrices from Representations of Braid-Monoid Algebras based on
  Superalgebras   In this paper we discuss representations of the Birman-Wenzl-Murakami algebra
as well as of its dilute extension containing several free parameters. These
representations are based on superalgebras and their baxterizations permit us
to derive novel trigonometric solutions of the graded Yang-Baxter equation. In
this way we obtain the multiparametric $R$-matrices associated to the
$U_q[sl(r|2m)^{(2)}]$, $U_q[osp(r|2m)^{(1)}]$ and $U_q[osp(r=2n|2m)^{(2)}]$
quantum symmetries. Two other families of multiparametric $R$-matrices not
predicted before within the context of quantum superalgebras are also
presented. The latter systems are indeed non-trivial generalizations of the
$U_q[D^{(2)}_{n+1}]$ vertex model when both distinct edge variables statistics
and extra free-parameters are admissible.

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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph