Recursion Relations for Long-Range Integrable Spin Chains with Open Boundary Conditions

Abstract

It is well known that integrable charges for short-range (e.g. nearest-neighbor) spin chains with periodic boundary conditions can be recursively generated by a so-called boost operator. In the past, this iterative construction has been generalized to periodic long-range spin chains as they appear in the context of the gauge/gravity correspondence. Here we introduce recursion relations for open long-range spin chain charges converting a short-range into a long-range integrable model.

5 pages, 2 figures, v2: comments added

References in corpus (2)

• Small deformations of supersymmetric Wilson loops and open spin-chains
• Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry

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• Fixing the Quantum Three-Point Function
• Integrable Deformations of the XXZ Spin Chain
• Irrelevant Deformations with Boundaries and Defects
• Lifting integrable models and long-range interactions