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Holography and Defect Conformal Field Theories
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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 x S^5 bisected by an AdS_4 x S^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 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 AdS_4 x S^2 leads to towers of short representations of OSp(4|4), and we construct the map to a set of dual gauge-invariant defect operators O_3 possessing integer conformal dimensions. Gravity calculations of <O_4> and <O_4O_3> 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 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.
Forward citations
Cited by 15 Pith papers
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Protected operators in non-local defect CFTs from AdS
Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.
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Holographic interpolations of defect CFTs
A D5-D7 brane configuration in AdS5 x S5 provides an interpolating holographic dual for defect CFTs, with anomaly cancellation and a conjectured SYM solution.
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't Hooft loops in N=4 super-Yang-Mills
A new perturbative framework for 't Hooft lines reproduces localization results for chiral primaries and yields a resummed Wilson-'t Hooft potential that matches holography.
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Aspects of Witten Diagrams for Holographic Defects
Derives explicit OPE coefficients for contact and exchange Witten diagrams and closed-form defect-to-bulk crossing kernels for zero- and surface defects in specific dimensions.
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The state/defect correspondence
Establishes a one-to-one correspondence between states and p-dimensional defects in higher-form Maxwell theories via an extended Kac-Moody algebra generated by conserved charges from mixed anomalies, mapping dressed W...
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Thermal conformal partial waves from flat-space and defect CFT
Establishes correspondence between flat, thermal, and defect conformal partial waves via shadow formalism, obtaining thermal blocks from flat four-point and defect two-point functions and reducing the Casimir equation...
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On decoding the string from interfaces in 2d conformal field theories
Stringy vibrations of an AdS3 junction between two thermal CFTs map to half-sided conformal transformations, producing perfectly reflected wavepackets, and are readable from interval entanglement entropy even at zero tension.
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Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
A probe-D5 holographic calculation gives analytic defect/interface entanglement entropy for massive D3/D5 intersections and shows the entropic C-function is monotonic but not always a finite degree-of-freedom count.
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Decoding the string in terms of holographic quantum maps
Stringy modes in 3D gravitational junctions map to factorized H_in to H_out and H_L to H_R quantum maps involving scattering matrices and relative Virasoro automorphisms in the dual CFT.
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Oscillons in AdS space
Simulations show long-lived oscillons in anti-de Sitter space, with recurrence of decayed waves and a transition to a persistent oscillatory state as the AdS radius shrinks.
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Holographic fundamental matter in multilayered media
A top-down holographic D3-D5-D7 construction yields anisotropic thermodynamics and distinct in-plane and off-plane sound and diffusion modes for strongly coupled layered matter with fundamental flavors.
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Holographic reconstruction for defect CFTs from $\mathrm{AdS}_p \times S^q$ spacetimes
Derives holographic one-point functions, stress tensor and Ward identities for defects in AdS5 and AdS6 from AdS2×S2, AdS2×S3 and AdS3×S2 backgrounds in Romans supergravity.
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The degrees of freedom of multiway junctions in three dimensional gravity
n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect ...
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String theory methods for defect CFTs
A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.
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One-point functions in AdS/dCFT
A review explains how one-point functions in a D3-D5 defect CFT reduce to integrable spin chain overlaps, expressible as determinant formulas.
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