Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bethe vectors for models based on the super-Yangian
  $Y(\mathfrak{gl}(m|n))$   We study Bethe vectors of integrable models based on the super-Yangian
$Y(\mathfrak{gl}(m|n))$. Starting from the super-trace formula, we exhibit
recursion relations for these vectors in the case of $Y(\mathfrak{gl}(2|1))$
and $Y(\mathfrak{gl}(1|2))$. These recursion relations allow to get explicit
expressions for the Bethe vectors. Using an antimorphism of the super-Yangian
$Y(\mathfrak{gl}(m|n))$, we also construct a super-trace formula for dual Bethe
vectors, and, for $Y(\mathfrak{gl}(2|1))$ and $Y(\mathfrak{gl}(1|2))$
super-Yangians, show recursion relations for them. Again, the latter allow us
to get explicit expressions for dual Bethe vectors.

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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg