A Defect in AdS3/CFT2 Duality

Abstract

$Ad{S}_3$ string theory in the stringy regime $k=(R_{AdS}/{\ell }_{str}{)}^2<1$ provides a laboratory for the study of holography in which both sides of AdS/CFT duality are under fairly good control. Worldsheet string theory is solvable, and for closed strings the dual spacetime CFT is a deformation of a symmetric product orbifold. Here we extend this construction to include open strings by adding a probe D-string, described semi-classically by an $Ad{S}_2$ D-brane in $Ad{S}_3$. The dual defect or boundary conformal field theory (BCFT) is again a deformed symmetric product, which now describes the Fock space of long open and closed strings near the AdS boundary, with a boundary deformation implementing the open/closed transition in addition to the symmetric product ${\mathbb{Z}}_2$ twist deformation that implements closed string joining/splitting. The construction thus provides an explicit example of an $Ad{S}_3/BCF{T}_2$ duality.

47 pages, 11 figures. v2: references added, typos corrected

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