Topological interfaces in Chern-Simons theory and AdS3/CFT2

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 AdS3/CFT2 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 AdS3, we show that it is possible to find boundary counter terms which lead to the N conserved currents in the dual two-dimensional CFT.

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