Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Dimensional Supersymmetry: From SUSY Quantum Mechanics to Integrable
  Classical Models   Two known 2-dim SUSY quantum mechanical constructions - the direct
generalization of SUSY with first-order supercharges and Higher order SUSY with
second order supercharges - are combined for a class of 2-dim quantum models,
which {\it are not amenable} to separation of variables. The appropriate
classical limit of quantum systems allows us to construct SUSY-extensions of
original classical scalar Hamiltonians. Special emphasis is placed on the
symmetry properties of the models thus obtained - the explicit expressions of
quantum symmetry operators and of classical integrals of motion are given for
all (scalar and matrix) components of SUSY-extensions. Using Grassmanian
variables, the symmetry operators and classical integrals of motion are written
in a unique form for the whole Superhamiltonian. The links of the approach to
the classical Hamilton-Jacobi method for related "flipped" potentials are
established.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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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: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org