Sökning: "Hans Nguyen"

Hittade 2 uppsatser innehållade orden Hans Nguyen.

1. 1. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology

   Master-uppsats, Uppsala universitet/Teoretisk fysik

   Författare :Hans Nguyen; [2018]
   Nyckelord :supersymmetry; SUSY; quantum mechanics; index theorem; path integral; non-linear sigma model; spin complex; Chern-Gauss-Bonnet theorem; Witten index; equivariant cohomology; Weil model; Cartan model;

   Sammanfattning : In this thesis, we investigate supersymmetric quantum mechanics (SUSYQM) and its relation to index theorems and equivariant cohomology. We define some basic constructions on super vector spaces in order to set the language for the rest of the thesis. LÄS MER

3. 2. Construction of Two-Dimensional Topological Field Theories

   Kandidat-uppsats, Uppsala universitet/Teoretisk fysik

   Författare :Hans Nguyen; [2015]
   Nyckelord :topological field theories; TQFT; TFT; cobordism; Frobenius algebra;

   Sammanfattning : In this thesis I thoroughly review the construction of topological quantum field theories (TQFT), with particular emphasis on the two dimensional examples. In the first part of the thesis, we consider the mathematical foundations of TQFT's by introducing notions such as categories, cobordisms and Frobenius algebras. LÄS MER