Extremal solutions of the S3 model and nilpotent orbits of G2(2)
Extremal solutions of the S3 model and nilpotent orbits of G2(2)
复制标题
S3 模型的极值解和 G2(2) 的幂零轨道
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Amitabh Virmani
中科院分区：
文献类型：
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作者：
Sung;Josef Lindman Hörnlund;Jakob Palmkvist;Amitabh Virmani
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} left/ {{ ilde{K}}}
ight.} $ with G = G2(2) and $ ilde{K} = { ext{S}}{{ ext{O}}_0}left( {2,2}
ight) $. We study nilpotent $ ilde{K} $-orbits of G2(2) corresponding to non-rotating single-center extremal solutions. We find six such distinct $ ilde{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-Kähler 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.
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} left/ {{ ilde{K}}}
ight.} $ with G = G2(2) and $ ilde{K} = { ext{S}}{{ ext{O}}_0}left( {2,2}
ight) $. We study nilpotent $ ilde{K} $-orbits of G2(2) corresponding to non-rotating single-center extremal solutions. We find six such distinct $ ilde{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-Kähler 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.