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Background knowledge needed to read the book "Holographic Quantum Matter" by Hartnoll, Lucas, Sachdev?

Physics Asked on July 7, 2021

I want to start going through the book "Holographic Quantum Matter" by Hartnoll, Lucas, Sachdev but it seems that my background in basic solid state physics and basic quantum field theory (1-semester course) is insufficient. I also know graduate-level General Relativity.

So, I would like to know what kind of background I need to further acquire in order to be ready to successfully go through the book.

One Answer

This is along comment:

Here is a long article by the same authors on the same title:

Abstract

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. We present a unified discussion of the holographic theory of transport with memory matrix and hydrodynamic methods, allowing a direct connection to experimentally realized quantum matter. We also explore other important challenges in non-quasiparticle physics, including symmetry broken phases such as superconductors and non-equilibrium dynamics.

The abstract tells me, if I want to understand the article I should have a chance if I know "gravitational theories in an emergent spatial dimension", which is another long story. Also hydrodynamics seems to enter the problem.

Answered by anna v on July 7, 2021

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