Holography and Defect Conformal Field Theories
نویسندگان
چکیده
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 AdS5×S bisected by an AdS4×S “brane”, is dual to N = 4 Super Yang-Mills theory in R coupled to an R3 defect. We propose a complete Lagrangian for the field theory dual, a novel “defect superconformal field theory” wherein a subset of the fields of N = 4 SYM interacts with a d = 3 SU(N) fundamental hypermultiplet on the defect preserving conformal invariance and 8 supercharges. The Kaluza-Klein reduction of wrapped D5 modes on AdS4 ×S2 leads to towers of short representations of OSp(4, 4), and we construct the map to a set of dual gauge-invariant defect operators O3 possessing integer conformal dimensions. Gravity calculations of 〈O4〉 and 〈O4 O3〉 are given. Spacetime and N -dependence matches expectations from dCFT, while the behavior as functions of λ = g2N at strong and weak coupling is generically different. We comment on a class of correlators for which a non-renormalization 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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تاریخ انتشار 2001