Description
I will discuss approaches to the construction of bulk
geometries dual to holographic phases without translational
invariance. In the first example I will discuss an explicit
breaking by turning on spatially dependent sources in the
dual field theory. Through exploiting a scalar shift
symmetry both the bulk geometry and finite DC conductivity
may be computed analytically. In the second example I will
discuss the numerical construction of inhomogeneous black
brane solutions in the absence of sources, where it is found
that translational invariance is broken spontaneously via a
second order phase transition.
