A simple holographic model for spontaneous breaking of translational symmetry

Understand

It has been shown that holographic massive gravities can effectively realize the states with spontaneous breaking of translational symmetry in a homogenous manner.

• In this work, we consider a toy model of such category by adding a special gauge-axion coupling to the bulk action.
• Firstly, we identify the existence of spontaneous breaking of translations by the UV analysis.
• In the absence of explicit breaking, the black hole solution is simply the same as the Reissner-Nodstrom(RN) black holes, regardless of the non-trivial profile of the bulk axions.