The holographic electron star

Abstract

In this thesis, we study the application of the holographic duality to condensed-matter physics. Utilizing this duality, we consider the electron star as a holographic model for strongly correlated electrons at a non-zero charge density, in 3+1 dimensions. The electron-star model consists of charged fermions, treated in a fluid limit, which backreact onto a (4+1) -dimensional Anti-deSitter spacetime. After solving the equations of motion in this model numerically, additional probe-fermions are added by constructing a Dirac action in the curved electron star spacetime. By solving the Dirac equation, the retarded Green's function and the spectral function for a chiral fermion are computed. Ultimately, the goal is to obtain a dual description of cold atomic gases in the unitarity limit.