Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The holographic RG flow in a field theory on a curved background   As shown by Freedman, Gubser, Pilch and Warner, the RG flow in ${\cal N}=4$
super-Yang-Mills theory broken to an ${\cal N}=1$ theory by the addition of a
mass term can be described in terms of a supersymmetric domain wall solution in
five-dimensional ${\cal N}=8$ gauged supergravity. The FGPW flow is an example
of a holographic RG flow in a field theory on a flat background. Here we put
the field theory studied by Freedman, Gubser, Pilch and Warner on a curved
$AdS_4$ background, and we construct the supersymmetric domain wall solution
which describes the RG flow in this field theory. This solution is a curved
(non Ricci flat) domain wall solution. This example demonstrates that
holographic RG flows in supersymmetric field theories on a curved $AdS_4$
background can be described in terms of curved supersymmetric domain wall
solutions.

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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol