Galilean Systems in AdS/CFT

Abstract

In this thesis, a brief introduction is given to the AdS/CFT correspondence and its uses in condensed matter physics. To treat Galilean physics in a relativistic setting, the introduction of a Galilean spacetime is motivated and discussed. We discuss the Clifford algebra and its geometrical significance, and introduce the Pin and Spin groups and the concept of spinors. Then we proceed to find the Killing spinors with Galilean symmetry and the corresponding Killing vectors.