Essays about: "Witten index"

Found 4 essays containing the words Witten index.

  1. 1. Supersymmetry in Quantum Mechanics

    University essay from Uppsala universitet/Institutionen för materialvetenskap

    Author : Ludvig Chen; [2023]
    Keywords : Quantum Mechanics; Supersymmetry; Witten Index; Morse Theory;

    Abstract : The introduction of supersymmetry has led to great progress in the study of quantum field theories. Notably, with supersymmetry, properties of a quantum field theory can be computed with higher precision than what would otherwise be possible. In this project, we investigate supersymmetry in the context of quantum mechanics. READ MORE

  3. 2. Path integrals in Quantum Mechanics and their application to low-dimensional supersymmetry

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Gaétan Kaouadji; [2023]
    Keywords : Path integrals quantum mechanics quantum field theory supersymmetry;

    Abstract : This report aims to give an insight to the path integral formalism in quantum mechanics. After explaining the kernel's construction, some of its properties and ways to compute it, we see how it relates to the Schrödinger picture. Moreover, we see how its representation can change if it is defined in the space, momentum, time or energy space. READ MORE

  4. 3. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Hans Nguyen; [2018]
    Keywords : 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;

    Abstract : 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. READ MORE

  5. 4. Index Theorems and Supersymmetry

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Andreas Eriksson; [2014]
    Keywords : Aiyah-Singer Index Theorem: Witten Index: Supersymmetric Quantum Mechanics; Path Integrals;

    Abstract : The Atiyah-Singer index theorem, the Euler number, and the Hirzebruch signature are derived via the supersymmetric path integral. Concisely, the supersymmetric path integral is a combination of a bosonic and a femionic path integral. READ MORE