Search for dissertations about: "exceptional geometry"

Showing result 1 - 5 of 10 swedish dissertations containing the words exceptional geometry.

  2. 1. Off-shell, maximal supersymmetry & exceptional geometry

    Author : Anna Karlsson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Maximal supersymmetry; pure spinors; exceptional geometry; maximal supergravity; loop amplitudes; U-duality; high energy particle physics;

    Abstract : Two lines of research are presented in this thesis, both with a focus on fundamental properties within the supersymmetric theories of high energy physics. The first features analyses based on the actions for maximal supersymmetric Yang–Mills theory and supergravity, provided by the pure spinor formalism. READ MORE

  4. 2. Strong Cosmic Censorship and Cosmic No-Hair in spacetimes with symmetries

    Author : Katharina Maria Radermacher; Hans Ringström; James Isenberg; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Cosmic Censorship; Cosmic No-Hair; Big Bang; symmetry; Bianchi; T2-symmetry; Gowdy; general relativity; cosmology; late time; initial time; asymptotic behaviour; perfect fluid; scalar field; Einstein equations; Mathematics; Matematik;

    Abstract : This thesis consists of three articles investigating the asymptotic behaviour of cosmological spacetimes with symmetries arising in Mathematical General Relativity.In Paper A and B, we consider spacetimes with Bianchi symmetry and where the matter model is that of a perfect fluid. READ MORE

  5. 3. From Art Galleries to Terrain Modelling --- A Meandering Path through Computational Geometry

    Author : Mikael Hammar; Data Vetenskap; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; system; numerisk analys; Datalogi; systems; control; numerical analysis; Approximation Algorithms; Computational Geometry; Online Algorithms; Art Gallery Problem; Linear Search; Traveling Salesman Problem; R-Tree; Delaunay Triangulation; Polygon Exploration; Computer science; Shortest Watchman Routes; kontroll; Mathematics; Matematik;

    Abstract : We give approximation and online algorithms as well as data structures for some well studied problems in computational geometry. The thesis is divided into three parts. In part one, we study problems related to guarding, exploring and searching geometric environments. READ MORE

  6. 4. Kantor Triple Systems

    Author : Daniel Mondoc; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; gruppteori; fältteori; algebra; algebraic geometry; group theory; Talteori; field theory; Number Theory; Composition algebras; Jordan algebras; Kantor triple systems; Lie algebras; Jordan triple systems; algebraisk geometri;

    Abstract : The main purpose of this thesis is to study real exceptional Kantor triple systems. In the first paper we first prove the known results in both the real and complex classical cases of K-simple Kantor triple systems. In the real classical case our approach gives somewhat simpler formulas. READ MORE

  7. 5. On applications of manifest, maximal supersymmetry & U-duality

    Author : Anna Karlsson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; maximal supergravity; pure spinors; Maximal supersymmetry; loop amplitudes; U-duality; Born-Infeld theory; generalised geometry; high energy particle physics;

    Abstract : Maximal supersymmetry is made manifest through the introduction of the pure spinor formalism. In many ways, this formalism represents a powerful tool in examinations of characteristics of different theories in high energy physics, though it is far from extensively exploited. READ MORE