Quantum integrability of the Alday-Arutyunov-Frolov model

Details Quantum integrability of the Alday-Arutyunov-Frolov model Quantum integrability of the Alday-Arutyunov-Frolov model

2011-06-02

arxiv.org/abs/1106.0512v2

JHEP 09(2011)092

Physics

High Energy Physics

High Energy Physics - Theory

40 pages; Replaced with published version. Appendix and comments added

Scientific paper

10.1007/JHEP09(2011)092

We investigate the quantum integrability of the Alday-Arutyunov-Frolov (AAF) model by calculating the three-particle scattering amplitude at the first non-trivial order and showing that the S-matrix is factorizable at this order. We consider a more general fermionic model and find a necessary constraint to ensure its integrability at quantum level. We then show that the quantum integrability of the AAF model follows from this constraint. In the process, we also correct some missed points in earlier works.

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