Holographic Massive Fermions

Abstract

In this thesis we will focus on developing a systematic model for describing the behavior of a gas of cold fermionic atoms using semi-holographic methods. Specifically we will make use of the AdS_5/CFT_4 correspondence, focusing on introducing a scalar field in the bulk that encodes the mass of the boundary fermions. Then, working in the probe limit, we will develop a method involving two fermionic bulk fields for describing massive fermions in the boundary, and analyze their behavior by computing the spectral function. Finally, we will discuss the physical interpretation of the dependence of the spectral function with the parameters of the theory.