Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the
  Extended mKdV Hierarchy   We couple two copies of the supersymmetric mKdV hierarchy by means of the
algebraic dressing technique. This allows to deduce the whole set of $(N,N)$
supersymmetry transformations of the relativistic sector of the extended mKdV
hierarchy and to interpret them as fermionic symmetry flows. The construction
is based on an extended Riemann-Hilbert problem for affine Kac-Moody
superalgebras with a half-integer gradation. A generalized set of
relativistic-like fermionic local current identities is introduced and it is
shown that the simplest one, corresponding to the lowest isospectral times
$t_{\pm 1}$ provides the supercharges generating rigid supersymmetry
transformations in 2D superspace. The number of supercharges is equal to the
dimension of the fermionic kernel of a given semisimple element $E \in
\widehat{\mathfrak{g}}$ which defines both, the physical degrees of freedom and
the symmetries of the model. The general construction is applied to the
$N=(1,1)$ and $N=(2,2)$ sinh-Gordon models which are worked out in detail.

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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: comp-gas