Open Perturbatively Long-Range Integrable gl(N) Spin Chains

Abstract

We construct the most general perturbatively long-range integrable spin chain with spins transforming in the fundamental representation of gl(N) and open boundary conditions. In addition to the previously determined bulk moduli we find a new set of parameters determining the reflection phase shift. We also consider finite-size contributions and comment on their determination.

21 pages

References in corpus (11)

• Small deformations of supersymmetric Wilson loops and open spin-chains
• Reflecting magnons
• A study of open strings ending on giant gravitons, spin chains and integrability
• Classical Open String Integrability
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Comments on the Boundary Scattering Phase
• Reflecting Magnon Bound States
• The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• Aspects of Integrability in N =4 SYM

Cited by in corpus (12)

• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Reflecting magnons from D7 and D5 branes
• The Bethe Ansatz Equations for Reflecting Magnons
• Integrable Deformations of the XXZ Spin Chain
• Review of AdS/CFT Integrability, Chapter I.3: Long-range spin chains
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• Bethe ansatz equations for open spin chains from giant gravitons
• Recursion Relations for Long-Range Integrable Spin Chains with Open Boundary Conditions
• Irrelevant Deformations with Boundaries and Defects
• Zero Modes for the Boundary Giant Magnons
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices