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arXiv · 1810.08713

Topological interfaces in Chern-Simons theory and $AdS_3/CFT_2$

Michael Gutperle·John D. Miller
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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 $AdS_3/CFT_2$ 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 $AdS_3$, we show that it is possible to find boundary counter terms which lead to the $N$ conserved currents in the dual two-dimensional CFT.

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Michael Gutperle, John D. Miller. 2018-12-06. Topological interfaces in Chern-Simons theory and $AdS_3/CFT_2$. https://doi.org/10.1103/physrevd.99.026014

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