Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On timelike supersymmetric solutions of gauged minimal 5-dimensional
  supergravity   We analyze the timelike supersymmetric solutions of minimal gauged
5-dimensional supergravity for the case in which the K\"ahler base manifold
admits a holomorphic isometry and depends on two real functions satisfying a
simple second-order differential equation. Using this general form of the base
space, the equations satisfied by the building blocks of the solutions become
of, at most, fourth degree and can be solved by simple polynomic ansatzs. In
this way we construct two 3-parameter families of solutions that contain almost
all the timelike supersymmetric solutions of this theory with one angular
momentum known so far and a few more: the (singular) supersymmetric
Reissner-Nordstr\"om-AdS solutions, the three exact supersymmetric solutions
describing the three near-horizon geometries found by Gutowski and Reall, three
1-parameter asymptotically-AdS$_{5}$ black-hole solutions with those three
near-horizon geometries (Gutowski and Reall's black hole being one of them),
three generalizations of the G\"odel universe and a few potentially homogenous
solutions. A key r\^ole in finding these solutions is played by our ability to
write AdS$_{5}$'s K\"ahler base space ($\overline{\mathbb{CP}}^{2}$ or
SU$(1,2)/$U$(2)$) is three different, yet simple, forms associated to three
different isometries. Furthermore, our ansatz for the K\"ahler metric also
allows us to study the dimensional compactification of the theory and its
solutions in a systematic way.

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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
2
The categories of this paper are: math
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The categories of this paper are: nucl-th
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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: math-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga