Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The kappa Supersymmetric Non Abelian Born Infeld Action for a D3 brane   In the previous submission of this paper we claimed to have solved the
problem of constructing a consistent non-abelian Born Infeld action which is
$\kappa$--supersymmetric to all orders. Our method was based on an extension of
target superspace to $\mathrm{N} \times \mathrm{N}$ matrix--valued objects for
all the items appearing in the geometric construction. Then we applied the
\textit{double first order formalism} introduced by us in the previous
construction of abelian brane actions to the non--abelian case and we claimed
that the Bosonic action given by the prescription of the \textit{symmetrized
trace} could be promoted to a fully kappa supersymmetric one. Unfortunately
there is an internal inconsistency, relative to U(N) gauge invariance in the
matricisation of target superspace geometry and there is a subtle inconsistency
in the variation of the symmetric trace action due to the loss of associativity
of the underlying symmetrized product. Because of that the entire construction
previously submitted does not stand on its feet. Consequently the present
resubmission is done in order to disclaim our previously claimed result and
also to express our sincere gratitude to our friends Paul Howe and Ulf
Lindstrom who, with their constructive criticism and private correspondence,
have helped us to understand where the bugs in our construction were.

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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org