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In this work we will study black brane solutions that are not translationallyinvariant in the spatial directions along which it extends. Instead, we requirehomogeneity, which still allows points along the spatial directions to berelated to each other by symmetries. We find Einstein-Maxwell black holesolutions whose near horizon geometry correspond to Solv (Bianchi $V1_{-1}$),Nil (Bianchi $II$) or $SL_2({\cal R})$ (Bianchi $VIII$). Interestingly weobserve that at intermediate temperatures our solutions have an scaling regimewhere different spacetime directions scale differently. We also compute the DCconductivities for these charged solutions and study how they scale in thisintermediate regime.

Intermediate scalings for Solv, Nil and $SL_2({\cal R})$ black branes