Bianchi Attractors: A Classification of Extremal Black Brane Geometries

Understand

Extremal black branes are of interest because they correspond to the ground states of field theories at finite charge density in gauge/gravity duality.

• The geometry of such a brane need not be translationally invariant in the spatial directions along which it extends.
• A less restrictive requirement is that of homogeneity, which still allows points along the spatial directions to be related to each other by symmetries.
• In this paper, we find large new classes of homogeneous but anisotropic extremal black brane horizons, which could naturally arise in gauge/gravity dual pairs.