Essays about: "non-linear sigma model"
Found 4 essays containing the words non-linear sigma model.
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1. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology
University essay from Uppsala universitet/Teoretisk fysikAbstract : In this thesis, we investigate supersymmetric quantum mechanics (SUSYQM) and its relation to index theorems and equivariant cohomology. We define some basic constructions on super vector spaces in order to set the language for the rest of the thesis. READ MORE
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2. Attitude Navigation using a Sigma-Point Kalman Filter in an Error State Formulation
University essay from KTH/Rymd- och plasmafysikAbstract : Kalman filtering is a well-established method for fusing sensor data in order to accuratelyestimate unknown variables. Recently, the unscented Kalman filter (UKF) has beenused due to its ability to propagate the first and second moments of the probability distribution of an estimated state through a non-linear transformation. READ MORE
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3. Generating Solutions in General Relativity using a Non-Linear Sigma Model
University essay from Uppsala universitet/Teoretisk fysikAbstract : This report studies the generation of new solutions to Einstein's field equations in general relativity by the method of sigma models. If, when projected from four to three dimensions, the relativistic action decouples into a gravity term and a non-linear sigma model term, target space isometries of the sigma model can be found that correspond to generating new solutions. READ MORE
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4. (Conformal) Supersymmetric sigma models in low dimensions
University essay from Teoretisk fysikAbstract : The geometry of non-conformal supersymmetric non-linear sigma models in one and two dimensions are reviewed. Transformations of the Osp(1|2) subgroup of the superconformal group are derived and then used in finding geometrical constraints on the target space of an N=(1,1) sigma model reduced to an N=1 sigma model. .. READ MORE