Essays about: "sphere bundle"

Found 2 essays containing the words sphere bundle.

1. 1. Generalized Abelian Gauge Theory & Generalized Global Symmetry

   University essay from Uppsala universitet/Teoretisk fysik

   Author : Emil Hössjer; [2020]
   Keywords : Differential characters; Wilson lines; generalized global symmetry; BF theory; Maxwell theory; spontaneous symmetry breaking; intersection number; selection rules; Noether theorem; sphere bundle; t Hooft operator;

   Abstract : We study Cheeger-Simons differential characters in order to define higher form U(1) gauge fields and their Wilson lines. We then go on to define generalized global symmetries. This is a topological formulation of symmetries which has interesting consequences when the charged operators extend through space. READ MORE

3. 2. Geometric Quantization

   University essay from Uppsala universitet/Teoretisk fysik

   Author : William Hedlund; [2017]
   Keywords : Geometric Quantization; symplectic geometry; fibre bundle; quantum mechanics; quantization;

   Abstract : We formulate a process of quantization of classical mechanics, from a symplecticperspective. The Dirac quantization axioms are stated, and a satisfactory prequantizationmap is constructed using a complex line bundle. Using polarization, it isdetermined which prequantum states and observables can be fully quantized. READ MORE