Essays about: "matrix Lie groups"

Found 2 essays containing the words matrix Lie groups.

1. 1. Spin Representations, Clifford Algebras and Spinors

   University essay from Uppsala universitet/Matematiska institutionen

   Author : Simon Wogel; [2023]
   Keywords : Algebras; Clifford algebras; Spinors; Representations; Lie algebras; Lie groups; Algebror; Cliffordalgebror; Spinorer; Representationer; Liealgebror; Liegrupper;

   Abstract : We begin by giving some theoretical background to the underlying concepts of spin representations and spinors. This is done from the perspective of Lie groups and Lie algebras. In particular, we discuss the functionality of Clifford algebras in the determination of the double-covering spin groups. READ MORE

3. 2. A Primer to Categorical Symmetries and Their Application to QCD in Two Dimensions

   University essay from Uppsala universitet/Teoretisk fysik

   Author : Rikard Olofsson; [2021]
   Keywords : category theory; fusion category; topological defect lines; rational conformal field theory; Wess Zumino Witten-model; QCD;

   Abstract : We introduce the formalism of categorical symmetries, and examine how these appear in quantum field theories. We discuss rational conformal field theories and their Verlinde lines, with the critical Ising model as an example. We introduce Wess Zumino Witten models and affine Lie algebras. An algorithm for the fusion rules is presented. READ MORE