Integrable Open Spin Chains in Defect Conformal Field Theory

Abstract

We demonstrate that the one-loop dilatation generator for the scalar sector of a certain perturbation of N=4 Super Yang-Mills with fundamentals is the Hamiltonian of an integrable spin chain with open boundary conditions. The theory is a supersymmetric defect conformal field theory (dCFT) with the fundamentals in hypermultiplets confined to a codimension one defect. We obtain a K-matrix satisfying a suitably generalized form of the boundary Yang-Baxter equation, study the Bethe ansatz equations and demonstrate how Dirichlet and Neumann boundary conditions arise in field theory, and match to existing results in the plane wave limit.

26 pages, LaTeX. v2: references added, typos corrected

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Cited by in corpus (56)

• Classical/quantum integrability in AdS/CFT
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• One-point Functions in Defect CFT and Integrability
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Integrable open spin chains from giant gravitons
• Integrable Wilson loops
• One-point Functions in AdS/dCFT from Matrix Product States
• Generalizations of the AdS/CFT correspondence
• Reflecting magnons
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Open string modes at brane intersections
• A study of open strings ending on giant gravitons, spin chains and integrability
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Holographic Correlation Functions for Open Strings and Branes
• Classical Open String Integrability
• Integrability of Green-Schwarz Sigma Models with Boundaries
• Integrable Matrix Product States from boundary integrability
• The Bethe Ansatz for Z_S Orbifolds of N=4 Super Yang-Mills Theory
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• The general Leigh-Strassler deformation and integrability
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• Chiral primary one-point functions in the D3-D7 defect conformal field theory
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Reflecting Magnon Bound States
• Open string integrability and AdS/CFT
• N=2 Super Yang-Mills and the XXZ spin chain
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• The spectrum of tachyons in AdS/CFT
• The Bethe Ansatz Equations for Reflecting Magnons
• Spin chain integrability in non-supersymmetric Wilson loops
• Open Spinning Strings and AdS/dCFT Duality
• String integrability of defect CFT and dynamical reflection matrices
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• Circular Wilson loops in defect Conformal Field Theory
• Integrable achiral D5-brane reflections and asymptotic Bethe equations
• String integrability of the ABJM defect
• Mesons from global Anti-de Sitter space
• Wilson-loop One-point Functions in ABJM Theory
• Structure constants of operators on the Wilson loop from integrability
• On the reflection of magnon bound states
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• Reflection matrices for the $U_q[sl(m|n{)}^{(1)}]$ vertex model
• Integrable Open Spin Chains from Flavored ABJM Theory
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Noncommutative D-brane from Covariant AdS Superstring
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Integrable models: from dynamical solutions to string theory