Asymptotic one-point functions in AdS/dCFT

Abstract

We take the first step in extending the integrability approach to one-point functions in AdS/dCFT to higher loop orders. More precisely, we argue that the formula encoding all tree-level one-point functions of SU(2) operators in the defect version of N=4 SYM theory, dual to the D5-D3 probe-brane system with flux, has a natural asymptotic generalization to higher loop orders. The asymptotic formula correctly encodes the information about the one-loop correction to the one-point functions of non-protected operators once dressed by a simple flux-dependent factor, as we demonstrate by an explicit computation involving a novel object denoted as an amputated matrix product state. Furthermore, when applied to the BMN vacuum state, the asymptotic formula gives a result for the one-point function which in a certain double-scaling limit agrees with that obtained in the dual string theory up to wrapping order.

6 pages; v2: statement about match up to wrapping order clarified, version accepted for publication

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Cited by in corpus (35)

• Scalar one-point functions and matrix product states of AdS/dCFT
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Spin Chain Overlaps and the Twisted Yangian
• Boundary states, overlaps, nesting and bootstrapping AdS/dCFT
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Integrable Matrix Product States from boundary integrability
• Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Boundary state bootstrap and asymptotic overlaps in AdS/dCFT
• On factorized overlaps: Algebraic Bethe Ansatz, twists, and Separation of Variables
• One-point functions in AdS/dCFT
• Crosscap States in Integrable Field Theories and Spin Chains
• A Quantum Check of Non-Supersymmetric AdS/dCFT
• String integrability of defect CFT and dynamical reflection matrices
• Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory
• Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT
• Non-Perturbative Defects in Tensor Models from Melonic Trees
• String integrability of the ABJM defect
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• A non-integrable quench from AdS/dCFT
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Two-point functions of SU(2)-subsector and length-two operators in dCFT
• Wrapping corrections for long range spin chains
• Holographic correlators of semiclassical states in defect CFTs
• Circular Wilson loops in defect $\mathcal{N}$=4 SYM: phase transitions, double-scaling limits and OPE expansion
• Lifting integrable models and long-range interactions
• B-type anomaly coefficients for the D3-D5 domain wall
• The dilatation operator for defect conformal N=4 SYM
• One-point functions in $\beta$-deformed N = 4 SYM with defect
• TCSA and the finite volume boundary state
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Three-Point Functions in ABJM and Bethe Ansatz
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain