Surface defects and symmetries

30th International Colloquium on Group Theoretical Methods in Physics

Fuchs, Jurgen^1 ; Schweigert, Christoph^2

Teoretisk Fysik, Karlstads Universitet, Universitetsgatan 21, Karlstad

65188, Sweden^1

Algebra und Zahlentheorie, Fachbereich Mathematik, Universitat Hamburg, Bundesstraße 55, Hamburg

20148, Germany^2

关键词: Conformal field theories;    Field theory;    Gauge group;    Interesting information;    Natural ingredients;    Quantum Computing;    Quantum field theory;    Three dimensions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012002/pdf
DOI  :  10.1088/1742-6596/597/1/012002

来源: IOP

【 摘 要 】

In quantum field theory, defects of various codimensions are natural ingredients and carry a lot of interesting information. In this contribution we concentrate on topological quantum field theories in three dimensions, with a particular focus on Dijkgraaf-Witten theories with abelian gauge group. Surface defects in Dijkgraaf-Witten theories have applications in solid state physics, topological quantum computing and conformal field theory. We explain that symmetries in these topological field theories are naturally defined in terms of invertible topological surface defects and are thus Brauer-Picard groups.