4.7 Article

Holography and defect conformal field theories

Journal

PHYSICAL REVIEW D
Volume 66, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.66.025009

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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 AdS(5)xS(5) bisected by an AdS(4)xS(2) brane, is dual to N=4 super Yang-Mills theory in R-4 coupled to an R-3 defect. We propose a complete Lagrangian for the field theory dual, a novel defect superconformal field theory wherein a subset of the fields of and < O4O3 > are given. Spacetime and N dependence matches expectations from DCFT, while the behavior as functions of lambda=g(2)N at strong and weak coupling is generically different. We comment on a class of correlators for which a nonrenormalization theorem may still exist. Partial evidence for the conformality of the quantum theory is given, including a complete argument for the special case of a U(1) gauge group. Some weak coupling arguments which illuminate the duality are presented.

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