Projective representations from quantum enhanced graph symmetries

30th International Colloquium on Group Theoretical Methods in Physics

Kaufmann, R.M.^1 ; Khlebnikov, S.^2 ; Wehefritz-Kaufmann, B.^1,2

Department of Mathematics, Purdue University, West Lafayette

IN

47907, United States^1

Department of Physics, Purdue University, West Lafayette

IN

47907, United States^2

关键词: Automorphism groups;    Category theory;    Groupoid;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012048/pdf
DOI  :  10.1088/1742-6596/597/1/012048

来源: IOP

【 摘 要 】

We define re-gaugings and enhanced symmetries for graphs with group labels on their edges. These give rise to interesting projective representations of subgroups of the automorphism groups of the graphs. We furthermore embed this construction into several higher levels of generalization using category theory and show that they are natural in that language. These include projective representations of the re-gauging groupoid and a novel generalization to all symmetries of the graph.