Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of supersymmetric AdS$_5$ black holes with $SU(2)$ symmetry   We prove that any supersymmetric solution to five-dimensional minimal gauged
supergravity with $SU(2)$ symmetry, that is timelike outside an analytic
horizon, is a Gutowski-Reall black hole or its near-horizon geometry. The proof
combines a delicate near-horizon analysis with the general form for a K\"ahler
metric with cohomogeneity-1 $SU(2)$ symmetry. We also prove that any timelike
supersymmetric soliton solution to this theory, with $SU(2)$ symmetry and a nut
or a complex bolt, has a K\"ahler base with enhanced $U(1)\times SU(2)$
symmetry, and we exhibit a family of asymptotically AdS$_5/\mathbb{Z}_p$
solitons for $p \geq 3$ with a bolt in this class.

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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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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: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph