|
Résumé |
After reviewing the gravitational dual of superfluids in the context of AdS/CFT, I will describe an
analytical method to derive the low-energy spectrum of the boundary theory. The result
confirms that, at zero temperature, the effective theory consists of a longitudinal phonon with
the correct speed of sound. I will next move on to consider the EFT of solids and use it to
motivate the construction of a holographic dual. Here too we are able to derive the correct low-
energy effective theory of the phonons in a conformally invariant solid. Lastly we obtain some
numerical solutions including backreaction and calculate the free energy, finding evidence that
the system “melts” into a black hole as the temperature is raised, which we interpret as a solid-
to-liquid phase transition on the field theory side. |
