Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BPS Soliton Solutions of a D3-brane Action   The world-volume action of a probe D3-brane in $AdS_5 \times S^5$ with $N$
units of flux has the field content, symmetries, and dualities of the $U(1)$
factor of ${\cal N} = 4$ $U(N+1)$ super Yang--Mills theory, spontaneously
broken to $U(N) \times U(1)$ by being on the Coulomb branch, with the massive
fields integrated out. Thus, it might be the exact effective action (a highly
effective action), or else a useful approximation to it. We construct an
$SL(2,Z)$ multiplet of BPS soliton solutions of the D3-brane action and show
that in the $N=1$ case they correspond to the electrically charged states that
have been integrated out as well as magnetic monopoles and dyons. Their charges
are uniformly spread on a spherical surface, a soliton bubble, which can be
interpreted as a phase boundary. This picture is consistent with previous
results in the string theory and field theory literature.

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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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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: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga