Holographic quantum matter

Understand

We present a review of theories of states of quantum matter without quasiparticle excitations.

• Solvable examples of such states are provided through a holographic duality with gravitational theories in an emergent spatial dimension.
• We review the duality between gravitational backgrounds and the various states of quantum matter which live on the boundary.
• We then describe quantum matter at a fixed commensurate density (often described by conformal field theories), and also compressible quantum matter with variable density, providing an extensive discussion of transport in both cases.