Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bethe Ansatz and Q-operator for the open ASEP   In this paper, we look at the asymmetric simple exclusion process with open
boundaries with a current-counting deformation. We construct a two-parameter
family of transfer matrices which commute with the deformed Markov matrix of
the system. We show that these transfer matrices can be factorised into two
commuting matrices with one parameter each, which can be identified with
Baxter's Q-operator, and that for certain values of the product of those
parameters, they decompose into a sum of two commuting matrices, one of which
is the Bethe transfer matrix for a given dimension of the auxiliary space.
Using this, we find the T-Q equation for the open ASEP, and, through functional
Bethe Ansatz techniques, we obtain an exact expression for the dominant
eigenvalue of the deformed Markov matrix.

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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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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: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg