Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal solutions of the S3 model and nilpotent orbits of G2(2)   We study extremal black hole solutions of the S3 model (obtained by setting
S=T=U in the STU model) using group theoretical methods. Upon dimensional
reduction over time, the S3 model exhibits the pseudo-Riemannian coset
structure G/K with G=G2(2) and K=SO(2,2). We study nilpotent K-orbits of G2(2)
corresponding to non-rotating single-center extremal solutions. We find six
such distinct K-orbits. Three of these orbits are supersymmetric, one is
non-supersymmetric, and two are unphysical. We write general solutions and
discuss examples in all four physical orbits. We show that all solutions in
supersymmetric orbits when uplifted to five-dimensional minimal supergravity
have single-center Gibbons-Hawking space as their four-dimensional Euclidean
hyper-K\"ahler base space. We construct hitherto unknown extremal
(supersymmetric as well as non-supersymmetric) pressureless black strings of
minimal five-dimensional supergravity and briefly discuss their relation to
black rings.

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The categories of this paper are: eess
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: econ
10
The categories of this paper are: q-bio