Sökning: "topological action"

Hittade 3 uppsatser innehållade orden topological action.

  1. 1. 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

  3. 2. Localization Techniques, Yang-Mills Theory and Strings

    Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Teoretisk fysik

    Författare :Linnea Svensk; [2016]
    Nyckelord :;

    Sammanfattning : Equivariant localization techniques exploit symmetries of systems, represented by group actions on manifolds, and use them to evaluate certain partition functions exactly. In this master thesis we begin with the study of localization in finite dimensions. LÄS MER

  4. 3. Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups

    Master-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Författare :David Larsson; [2015]
    Nyckelord :Compact Riemann surfaces and uniformization; Fuchsian groups and automorphic functions; Hyperbolic geometry; Topological groups; Permutation groups; Computational methods; Covering spaces; branched coverings; Generators; relations; and presentations;

    Sammanfattning : The work of mathematical giants, such as Lobachevsky, Gauss, Riemann, Klein and Poincaré, to name a few, lies at the foundation of the study of the highly structured Riemann surfaces, which allow definition of holomorphic maps, corresponding to analytic maps in the theory of complex analysis. A topological result of Poincaré states that every path-connected Riemann surface can be realised by a construction of identifying congruent points in the complex plane, the Riemann sphere or the hyperbolic plane; just three simply connected surfaces that cover the underlying Riemann surface. LÄS MER