Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From super Weyl modules to the super Virasoro modules   Based on the classification of irreducible modules over the Weyl superalgebra
$\W$, the restriction functor and the "twisting technique", we construct a
class of new (generally non-weight) modules over the $N=1, 2$ Ramond algebras
$\R$ and $\T$. The sufficient and necessary conditions for these modules to be
irreducible are determined. In addition, lots of interesting examples for such
irreducible modules over the $N=1, 2$ Ramond algebras with different features
are given, which include super intermediate series modules, $\mathcal{U}(\C
L_0)$-free modules of rank two, super degree two modules and so on. Finally, we
obtain that some of these non-weight modules over the $N=1, 2$ Ramond algebras
are both new. Note that the Witt superalgebra, the $N=2$ Neveu-Schwarz algebra
and the $N=2$ topological algebra are isomorphic to $\T$ by spectral flows. As
a byproduct, we also give a characterization of the irreducibility of goal
modules over these Lie superalgebras (namely, untwisted $N=2$ superconformal
algebras).

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs