Holography of Spin Currents

Abstract

The aim of this thesis is finding the expression for the spin current in a holographic setup. In order to derive the spin current we need to impose holography i.e. AdS/CFT correspondence. We need to de fine what the spin current is or at least what the model that mostly imitates the spin current is. The first part of the thesis is focused on giving the basics of the gauge/gravity duality and give some examples of its application. The second part of the thesis focuses on using that dictionary to find the spin current and calculating various physical quantities as correlation functions. The derivation of the spin current is going to be implemented by the bottom-up approach. To derive the spin current we need to define the motivation i.e. inspiration for de riving the spin current from the chiral anomaly and the gauge/gravity duality corresponding to the massive gauge field that will represent the bulk dual of the axial current.