Browsing Department of Materials Science and Metallurgy by Subject "Self-duality"

Now showing items 1-2 of 2

  • Anti-self-dual fields and manifolds 

    Högner, Moritz (University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 2013-04-30)
    In this thesis we study anti–self–duality equations in four and eight dimensions on manifolds of special Riemannian holonomy, among these hyper–Kähler, Quaternion–Kähler and Spin(7)–manifolds. We first consider the ...

  • Vortices, Painlevé integrability and projective geometry 

    Contatto, Felipe (University of CambridgeApplied Mathematics and Theoretical PhysicsQueens', 2018-06-28)
    GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations ...