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Intermediate scalings for solv, nil, and SL2(R) black branes

机译:溶剂黑,无色和SL2(R)黑色铜膜的中间缩放

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In this work, we will study black brane solutions that are not translationally invariant in the spatial directions along which it extends. Instead, we require homogeneity, which still allows points along the spatial directions to be related to each other by symmetries. We find Einstein–Maxwell–anti-de Sitter black hole solutions of which the near-horizon geometry corresponds to solv (Bianchi V 1 ? 1 ), nil (Bianchi I I ), or S L 2 ( R ) (Bianchi V I I I ). Interestingly, we observe that at intermediate temperatures our solutions have an scaling regime where different spacetime directions scale differently. We also compute the dc conductivities for these charged solutions and study how they scale in this intermediate regime.
机译:在这项工作中,我们将研究在其延伸的空间方向上平移不变的黑色糠麸解决方案。取而代之的是,我们需要同质性,这仍然允许沿空间方向的点通过对称性相互关联。我们发现爱因斯坦-麦克斯韦-安提德-西特黑洞解决方案的近视水平几何对应于Solv(Bianchi V 1?1),nil(Bianchi I I)或S L 2(R)(Bianchi V I I I)。有趣的是,我们观察到在中间温度下,我们的解具有一个缩放比例,其中不同时空方向的缩放比例不同。我们还计算了这些带电解决方案的直流电导率,并研究了它们在这种中间状态下如何扩展。

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