Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin Hurwitz theory and Miwa transform for the Schur Q-functions   Schur functions are the common eigenfunctions of generalized cut-and-join
operators which form a closed algebra. They can be expressed as differential
operators in time-variables and also through the eigenvalues of auxiliary
$N\times N$ matrices $X$, known as Miwa variables. Relevant for the cubic
Kontsevich model and also for spin Hurwitz theory is an alternative set of
Schur Q-functions. They appear in representation theory of the Sergeev group,
which is a substitute of the symmetric group, related to the exceptional
superalgebras $\mathfrak{q}(N)$. The corresponding spin $\hat{\cal
W}$-operators were recently found in terms of time-derivatives, but a
substitute of the Miwa parametrization remained unknown, which is an essential
complication for the matrix model technique and further developments. We
demonstrate that the Miwa representation, in this case, involves a fermionic
matrix $\Psi$ in addition to $X$, but its realization using supermatrices is
{\it not} quite naive.

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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph