Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The open supersymmetric Haldane-Shastry spin chain and its associated
  motifs   We study the open version of the su$(m|n)$ supersymmetric Haldane-Shastry
spin chain associated to the $BC_N$ extended root system. We first evaluate the
model's partition function by modding out the dynamical degrees of freedom of
the su$(m|n)$ supersymmetric spin Sutherland model of $BC_N$ type, whose
spectrum we fully determine. We then construct a generalized partition function
depending polynomially on two sets of variables, which yields the standard one
when evaluated at a suitable point. We show that this generalized partition
function can be written in terms of two variants of the classical skew super
Schur polynomials, which admit a combinatorial definition in terms of a new
type of skew Young tableaux and border strips (or, equivalently, extended
motifs). In this way we derive a remarkable description of the spectrum in
terms of this new class of extended motifs, reminiscent of the analogous one
for the closed Haldane-Shastry chain. We provide several concretes examples of
this description, and in particular study in detail the su$(1|1)$ model finding
an analytic expression for its Helmholtz free energy in the thermodynamic
limit.

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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys