Topological interfaces in Chern-Simons theory and $Ad{S}_3/CF{T}_2$

Abstract

Recently, topological interfaces between three-dimensional abelian Chern-Simons theories were constructed. In this note we investigate such topological interfaces in the context of the $Ad{S}_3/CF{T}_2$ correspondence. We show that it is possible to connect the topological interfaces in the bulk Chern-Simons theory to topological interfaces in the dual CFT on the boundary. In addition for $[U(1){]}^{2N}$ Chern-Simons theory on $Ad{S}_3$, we show that it is possible to find boundary counter terms which lead to the $N$ conserved currents in the dual two-dimensional CFT.

17 pages, 1 figure. v2: references added