Browsing Department of Materials Science and Metallurgy by Subject "Self-duality"
Now showing items 1-2 of 2
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Anti-self-dual fields and manifolds
(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 ...
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Vortices, Painlevé integrability and projective geometry
(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 ...