Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations

Abstract

We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N=4 SYM theory which is dual to the D5-D3 probe-brane system with k units of background gauge field flux. This involves several types of two-point functions which are vanishing in the theory without the defect, such as two-point functions of operators of unequal conformal dimension. We furthermore exploit the operator product expansion (OPE) and the boundary operator expansion (BOE), which form the basis of the boundary conformal bootstrap equations, to extract conformal data both about the defect CFT and about N=4 SYM theory without the defect. From the knowledge of the one- and two-point functions of the defect theory, we extract certain structure constants of N=4 SYM theory using the (bulk) OPE and constrain certain bulk-bulk-to-boundary couplings using the BOE. The extraction of the former relies on a non-trivial, polynomial k dependence of the one-point functions, which we explicitly demonstrate. In addition, it requires the knowledge of the one-point functions of SU$(2)$ descendant operators, which we likewise explicitly determine.

34 pages, 2 figures

References in corpus (25)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• The Bootstrap Program for Boundary CFT_d
• Conformal Field Theories Near a Boundary in General Dimensions
• The N=4 Superconformal Bootstrap
• Tailoring Three-Point Functions and Integrability
• Boundary and Interface CFTs from the Conformal Bootstrap
• One-point Functions in Defect CFT and Integrability
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Holographic three-point functions of semiclassical states
• One-point Functions in AdS/dCFT from Matrix Product States
• A non-renormalization theorem for chiral primary 3-point functions
• On correlation functions of operators dual to classical spinning string states
• AdS/dCFT one-point functions of the SU(3) sector
• OPEs and 3-point correlators of protected operators in N=4 SYM
• One-loop one-point functions in gauge-gravity dualities with defects
• Five-loop Konishi in N=4 SYM
• Holographic Interface-Particle Potential
• A Quantum Check of AdS/dCFT
• A light-cone approach to three-point functions in AdS_5 x S^5
• Chiral primary one-point functions in the D3-D7 defect conformal field theory
• One-loop Wilson loops and the particle-interface potential in AdS/dCFT
• Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models

Cited by in corpus (28)

• Universality at large transverse spin in defect CFT
• Analytic Bootstrap for Boundary CFT
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Asymptotic one-point functions in AdS/dCFT
• Spin Chain Overlaps and the Twisted Yangian
• Analytic bootstrap for the localized magnetic field
• On factorized overlaps: Algebraic Bethe Ansatz, twists, and Separation of Variables
• One-point functions in AdS/dCFT
• Integrable domain walls in ABJM theory
• Conformal dispersion relations for defects and boundaries
• A Quantum Check of Non-Supersymmetric AdS/dCFT
• Supersymmetric D3/D5 for massive defects on curved space
• Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT
• String integrability of the ABJM defect
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Quark-antiquark potential in defect conformal field theory
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• On actions for (entangling) surfaces and DCFTs
• Holographic correlators of semiclassical states in defect CFTs
• Conformal line defects at finite temperature
• Circular Wilson loops in defect $\mathcal{N}$=4 SYM: phase transitions, double-scaling limits and OPE expansion
• B-type anomaly coefficients for the D3-D5 domain wall
• More on Boundary Holographic Witten Diagrams
• One-point functions in $\beta$-deformed N = 4 SYM with defect
• Holographic 2-Point Functions in the Pseudo-Conformal Universe
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain