Holography and defect conformal field theories
Holography and defect conformal field theories
We develop both the gravity and field theory sides of the Karch-Randall conjecture that the near-horizon description of a certain D5-D3 brane configuration in string theory, realized as ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}$ bisected by an ${\mathrm{AdS}}_{4}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{2}$ ``brane,'' is dual to $\mathcal{N}=4$ super Yang-Mills theory in ${\mathbf{R}}^{4}$ coupled to an ${\mathbf{R}}^{3}$ defect. We propose …