We review the physics of pair-density wave (PDW) superconductors. We begin with a
macroscopic description that emphasizes order induced by PDW states, such as charge …

This is a complete and exhaustive review on the so-called holographic axion model—a
bottom-up holographic system characterized by the presence of a set of shift symmetric …

We use gauge/gravity duality to write down an effective low energy holographic theory of
charge density waves. We consider a simple gravity model which breaks translations …

In this work, we show how states with conserved numbers of dynamical defects (strings,
domain walls, etc.) can be understood as possessing generalized global symmetries even …

A bstract We study a holographic model where translations are both spontaneously and
explicitly broken, leading to the presence of (pseudo)-phonons in the spectrum. The weak …

A bstract We consider the spontaneous breaking of translational symmetry and identify the
associated Goldstone mode—a longitudinal phonon—in a holographic model with Bianchi …

A bstract We perform a detailed analysis of a large class of effective holographic models with
broken translations at finite charge density and magnetic field. We exhaustively discuss the …

We show that the field theories dual to the homogeneous holographic models with
spontaneously broken translations display several distinctive properties of quasicrystals …

We present a minimal bottom-up extension of the Chern-Simons bulk action for holographic
translational symmetry breaking that naturally gives rise to pair density waves. We construct …

A bstract A supersolid is a system that presents long-range order and shear rigidity as a
solid but which also supports a non-dissipative superflow as a superfluid. From an effective …