Abstract
I will give a review about non-group symmetry and higher symmetry, understand toric code model from the point of view of spontaneous symmetry breaking and show how these new symmetries emerge from topological phases, and give a description of symmetries by tensor category. Then I will introduce gauge procedure with a general symmetry by algebraic language, and relation between original theory and gauged theory, show that the new symmetry can be related to the original symmetry by Bi-module category. Finally given a specific lattice model with Rep(G) symmetry and illustrate my gauge procedure.
Anyone interested is welcome to attend.