Integrable domain walls in ABJM theory

Abstract

One-point functions of local operators are studied, at weak and strong coupling, for the ABJM theory in the presence of a 1/2 BPS domain wall. In the underlying quantum spin chain the domain wall is represented by a boundary state which we show is integrable yielding a compact determinant formula for one-point functions of generic operators.

arXiv comment38 pages, 4 figures; v2: refs. added

References in corpus (52)

• Gauge Theory Correlators from Non-Critical String Theory
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Review of AdS/CFT Integrability: An Overview
• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• The Bethe ansatz for superconformal Chern-Simons
• What is an integrable quench?
• D-branes, Monopoles and Nahm Equations
• The Noncommutative Bion Core
• The all loop AdS4/CFT3 Bethe ansatz
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• One-point Functions in Defect CFT and Integrability
• On M5-branes in N=6 Membrane Action
• One-point Functions in AdS/dCFT from Matrix Product States
• A Gaudin-like determinant for overlaps of Néel and XXZ Bethe states
• AdS/dCFT one-point functions of the SU(3) sector
• Determinant formula for the six-vertex model with reflecting end
• Scalar one-point functions and matrix product states of AdS/dCFT
• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
• Solutions of the T-system and Baxter equations for supersymmetric spin chains
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Néel-XXZ state overlaps: odd particle numbers and Lieb-Liniger scaling limit
• One-loop one-point functions in gauge-gravity dualities with defects
• Vortex Loop Operators, M2-branes and Holography
• Spin Chain Overlaps and the Twisted Yangian
• Integrability of Green-Schwarz Sigma Models with Boundaries
• Overlaps of Partial Neel States and Bethe States
• Integrable quantum field theory with boundaries: the exact g-function
• Boundary states, overlaps, nesting and bootstrapping AdS/dCFT
• A Quantum Check of AdS/dCFT
• Expectation values of chiral primary operators in holographic interface CFT
• Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations
• Chiral primary one-point functions in the D3-D7 defect conformal field theory
• 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
• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• A Quantum Check of Non-Supersymmetric AdS/dCFT
• String integrability of defect CFT and dynamical reflection matrices
• Achiral boundaries and the twisted Yangian of the D5-brane
• Fuzzy Killing Spinors and Supersymmetric D4 action on the Fuzzy 2-sphere from the ABJM Model
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Bosonic Quadratic Actions for 11D Supergravity on AdS_7/4 x S_4/7
• Brane Embeddings in AdS_4 x CP^3

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• Solution of the BEC to BCS Quench in One Dimension
• Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory
• String integrability of the ABJM defect
• Wilson-loop One-point Functions in ABJM Theory
• Wrapping corrections for long range spin chains
• Holographic correlators of semiclassical states in defect CFTs
• Integrable Crosscap States: From Spin Chains to 1D Bose Gas
• Integrable crosscaps in classical sigma models
• Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain