Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive mass theorem in extended supergravities   Following the Witten-Nester formalism, we present a useful prescription using
Weyl spinors towards the positivity of mass. As a generalization of
arXiv:1310.1663, we show that some "positivity conditions" must be imposed upon
the gauge connections appearing in the supercovariant derivative acting on
spinors. A complete classification of the connection fulfilling the positivity
conditions is given. It turns out that these positivity conditions are indeed
satisfied for a number of extended supergravity theories. It is shown that the
positivity property holds for the Einstein-complex scalar system, provided that
the target space is Hodge-Kahler and the potential is expressed in terms of the
superpotential. In the Einstein-Maxwell-dilaton theory with a dilaton
potential, the dilaton coupling function and the superpotential are fixed by
the positive mass property. We also explore the $N=8$ gauged supergravity and
demonstrate that the positivity of the mass holds independently of the gaugings
and the deformation parameters.

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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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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: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: math
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The categories of this paper are: mtrl-th