Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality

Abstract

We investigate the integrable structures in an N=2 superconfomal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that correspond to free string states. In the closed string sector, an integrable structure is inherited from its parent theory, N=4 SYM. For the open string sector, the planar one-loop mixing matrix for gauge invariant holomorphic operators is identified with the Hamiltonian of an integrable SU(3) open spin chain. Using the K-matrix formalism we identify the integrable open-chain boundary conditions that correspond to string boundary conditions. The solutions to the algebraic Bethe ansatz equations (ABAE) with a few impurities are shown to recover the anomalous dimensions that exactly match the spectrum of free open string in the plane-wave background. We also discuss the properties of the solutions of ABAE beyond the BMN regime.

18 pages, one eps figure, v3: typos corrected, clarifying footnotes added, treatment of complex roots revised

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Cited by in corpus (46)

• Classical/quantum integrability in AdS/CFT
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• 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
• Reflecting magnons
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Yang-Mills Correlation Functions from Integrable Spin Chains
• 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
• One-Loop QCD Spin Chain and its Spectrum
• Integrable Open Spin Chains in Defect Conformal Field Theory
• Pulsating Strings on AdS_5 x S^5
• Holographic Correlation Functions for Open Strings and Branes
• Classical Open String 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
• Integrable Open Spin Chains and the Doubling Trick in N = 2 SYM with Fundamental Matter
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• 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 Bethe Ansatz Equations for Reflecting Magnons
• The AdS Veneziano amplitude at small curvature
• Open Spinning Strings and AdS/dCFT Duality
• 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
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• Integrable Spin Chains on the Conformal Moose
• Mesons from global Anti-de Sitter space
• Wilson-loop One-point Functions in ABJM Theory
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• Spectral curve for open strings attached to the Y=0 brane
• Integrable Open Spin Chains from Flavored ABJM Theory
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Y-system for $\gamma$-deformed ABJM Theory
• Integrability of Orbifold ABJM Theories
• Noncommutative D-brane from Covariant AdS Superstring
• Notes on Integrable Boundary Interactions of Open $SU(4)$ Alternating Spin Chains
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Off-diagonal approach to the exact solution of quantum integrable systems
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM