Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scalar Products in Twisted XXX Spin Chain. Determinant Representation   We consider XXX spin-$1/2$ Heisenberg chain with non-diagonal boundary
conditions. We obtain a compact determinant representation for the scalar
product of on-shell and off-shell Bethe vectors. In the particular case when
both Bethe vectors are on shell, we obtain a determinant representation for the
norm of on-shell Bethe vector and prove orthogonality of the on-shell vectors
corresponding to the different eigenvalues of the transfer matrix.

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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol