Sökning: "Topological Field Theory"

Visar resultat 1 - 5 av 15 uppsatser innehållade orden Topological Field Theory.

  1. 1. Supersymmetry in Quantum Mechanics

    Kandidat-uppsats, Uppsala universitet/Institutionen för materialvetenskap

    Författare :Ludvig Chen; [2023]
    Nyckelord :Quantum Mechanics; Supersymmetry; Witten Index; Morse Theory;

    Sammanfattning : 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. LÄS MER

  3. 2. Profinite groups

    Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Juan Moreno Poncela; [2023]
    Nyckelord :Profinite Groups; Infinite Galois Theory; Mathematics and Statistics;

    Sammanfattning : This thesis provides a comprehensive study of profinite groups, which are fascinating mathematical objects that have attracted significant interest in modern algebraic research. Profinite groups are infinite generalizations of finite groups and share many similarities with them. LÄS MER

  4. 3. Persistent Homology : A Modern Application of Algebraic Topology in Data Analysis

    Master-uppsats,

    Författare :Staffan Leijnse; [2023]
    Nyckelord :Data; Algebraic Topology; Persistent; Homology; Graded; Representation;

    Sammanfattning : Topological data analysis emerged as a field in the 2000s and has proven very useful for examining the shape of data sets. Using persistent homology as their main methodology researchers has succesfully applied the theory presented in this paper to study as varied subjects as robot motion, brain connectivity, network theory, finger print analysis and computer vision. LÄS MER

  5. 4. Comparison in Barcode and Computing Time for Persistent Homology Applied to a Subset of a Point Cloud

    Kandidat-uppsats,

    Författare :André Lasses Armatowski; [2022]
    Nyckelord :;

    Sammanfattning : At the intersection of topology and computer science lies the field of topological data analysis(TDA). TDA uses the concept of persistence to identify low dimensional topological features of data embedded in high dimensions. LÄS MER

  7. 5. Higher Forms and Dimensional Hierarchy in Topological Condensed Matter

    Master-uppsats, KTH/Fysik

    Författare :Yashar Honarmandi; [2022]
    Nyckelord :Theoretical physics; topological quantum matter; parametrized systems; Berry phase; higher Berry curvature; effective field theory; topological action; topological insulators; dimensional hierarchy; Teoretisk fysik; topologisk kvantmateria; parametriserade system; Berryfas; högre Berrykrökning; effektiv fältteori; topologisk verkan; topologiska isolatorer; dimensionshierarki;

    Sammanfattning : This report discusses higher differential forms with applications in the study of topological phenomena. The integer quantum Hall effect is first discussed, demonstrating a connection between models on a lattice and quantum field theories bridged by a topological invariant, namely the Chern number. LÄS MER