Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On superconformal Chern-Simons-matter theories in N=4 superspace   In three dimensions, every known N=4 supermultiplet has an off-shell
completion. However, there is no off-shell N=4 formulation for the known
extended superconformal Chern-Simons (CS) theories with eight and more
supercharges. To achieve a better understanding of this issue, we provide N=4
superfield realisations for the equations of motion which correspond to various
N=4 and N=6 superconformal CS theories, including the Gaiotto-Witten theory and
the ABJM theory. These superfield realisations demonstrate that the
superconformal CS theories with N>3 (except for the Gaiotto-Witten theory)
require a reducible long N=4 vector multiplet, from which the standard left and
right N=4 vector multiplets are obtained by constraining the field strength to
be either self-dual or anti self-dual. Such a long multiplet naturally
originates upon reduction of any off-shell N>4 vector multiplet to N=4
superspace. For the long N=4 vector multiplet we develop a prepotential
formulation. It makes use of two prepotentials being subject to the constraint
which defines the so-called hybrid projective multiplets introduced in the
framework of N=4 supergravity-matter systems in arXiv:1101.4013. We also couple
N=4 superconformal CS theories to N=4 conformal supergravity.

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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex