Giorgio Frangi: Supersolid phases of matter and holography

Supersolids are phases of matter that spontaneously and simultaneously break both a global U(1) and translational symmetry. In this talk I will show how to derive a phenomenological description -- in the spirit of Ginzburg-Landau theory -- valid near the supersolid transition, and use it to find a few model-independent relationships between quantities of interest around it. Such relationships are then confirmed by performing calculations in the framework of the holographic correspondence, which provides some predictions even away from the transition itself. I will later discuss future possible developments of this model.