Sökning: "Chern-Simons theory"
Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Chern-Simons theory.
1. Abelian and non-abelian quantum Hall hierarchies
Sammanfattning : A core tenet of condensed matter physics has been that different phases of matter can be classified according to Landau's symmetry breaking paradigm. It has become clear, however, that phases of matter exist that are not distinguished by symmetry, but rather by topology. LÄS MER
2. Twisting and Gluing : On Topological Field Theories, Sigma Models and Vertex Algebras
Sammanfattning : This thesis consists of two parts, which can be read separately. In the first part we study aspects of topological field theories. We show how to topologically twist three-dimensional N=2 supersymmetric Chern-Simons theory using a contact structure on the underlying manifold. LÄS MER
3. Quasiparticles in the Quantum Hall Effect
Sammanfattning : The fractional quantum Hall effect (FQHE), discovered in 1982 in a two-dimensional electron system, has generated a wealth of successful theory and new concepts in condensed matter physics, but is still not fully understood. The possibility of having nonabelian quasiparticle statistics has recently attracted attention on purely theoretical grounds but also because of its potential applications in topologically protected quantum computing. LÄS MER
4. Exact Results in Five-Dimensional Gauge Theories : On Supersymmetry, Localization and Matrix Models
Sammanfattning : Gauge theories are one of the corner stones of modern theoretical physics. They describe the nature of all fundamental interactions and have been applied in multiple branches of physics. The most challenging problem of gauge theories, which has not been solved yet, is their strong coupling dynamics. LÄS MER
5. Spins and Giants : Fundamental Excitations in Weakly and Strongly Coupled ABJM Theory
Sammanfattning : The discovery of integrability on both sides of the duality between planar N=4 super Yang-Mills theory and free type IIB string theory in AdS5 × S5 has lead to great progress in our understanding of the AdS/CFT correspondence. Similar integrable structures also appear in the more recent three-dimensional superconformal N=6 Chern-Simons-matter theory constructed by Aharony, Bergman, Jafferis and Maldacena (ABJM), as well as in its gravity dual, type IIA string theory on AdS4 × CP3. LÄS MER