Essays about: "Lie symmetries"
Showing result 1 - 5 of 11 essays containing the words Lie symmetries.
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1. Equivariant Mathai-Quillen Formalism
University essay from Uppsala universitet/Teoretisk fysikAbstract : Equivariant localization is a technique can be used to reduce the dimensionality of integral for the manifold with a Lie group action on. Such technique can beapplied to simply the calculation of path integral with certain type of symmetries. READ MORE
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2. Primordial Gravitational Waves and ultra-light Dark Matter in a complex singlet extended Standard Model
University essay from Lunds universitet/Partikel- och kärnfysik; Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisationAbstract : In this thesis, the consequences of extending the internal symmetries of the standard model with a complex singlet scalar field, are investigated in terms of dark matter phenomenology and the possibility of primordial gravitational wave detection utilizing space based laser interferometry. The scalar potential of the model is constructed with a Z2 symmetry, which allows for the retainment of a linear and a quadratic coupling parameter, as well as a stable dark matter candidate, and an additional non-zero vacuum expectation value for the real component of the scalar field. READ MORE
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3. A Primer to Categorical Symmetries and Their Application to QCD in Two Dimensions
University essay from Uppsala universitet/Teoretisk fysikAbstract : We introduce the formalism of categorical symmetries, and examine how these appear in quantum field theories. We discuss rational conformal field theories and their Verlinde lines, with the critical Ising model as an example. We introduce Wess Zumino Witten models and affine Lie algebras. An algorithm for the fusion rules is presented. READ MORE
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4. Symmetry methods and some nonlinear differential equations : Background and illustrative examples
University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)Abstract : Differential equations, in particular the nonlinear ones, are commonly used in formulating most of the fundamental laws of nature as well as many technological problems, among others. This makes the need for methods in finding closed form solutions to such equations all-important. READ MORE
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5. Equivariant Cohomology and Localisation
University essay from Uppsala universitet/Teoretisk fysikAbstract : Equivariant localisation is based on exploiting certain symmetries of some systems, generally represented by a non-free action of a Lie group on a manifold, to reduce the dimensionality of integral calculations that commonly appear in theoretical physics. In this work we present Cartan's model of equivariant cohomology in different scenarios, such as differential manifolds, symplectic manifolds or vector bundles and we reproduce the main corresponding localisation results. READ MORE
