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

Loebbert, Florian

doi:10.1103/PhysRevD.85.086008

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

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Loebbert, Florian
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1201.0888
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Citation

Loebbert, F. (2012). Recursion Relations for Long-Range Integrable Spin Chains with Open Boundary Conditions. Physical Review D, 85: 086008. doi:10.1103/PhysRevD.85.086008.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-28A4-9

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.