Abstract
We prove the integrability of the two-loop open spin chain Hamiltonian from ABJM determinant like operators given in [1]. By explicitly constructing R-matrices and K-matrices, we successfully obtain the two-loop Hamiltonian from the double row transfer matrices. This proves the integrability of our two-loop Hamiltonian. Based on the vacuum eigenvalues of the transfer matrices, we make a conjecture on the eigenvalues of the transfer matrices for general excited states. Bethe ansatz equations are simply obtained from the analytic conditions at the superficial poles of the eigenvalues.
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ArXiv ePrint: 1901.03949
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Bai, N., Chen, HH., Ouyang, H. et al. Two-loop integrability of ABJM open spin chain from giant graviton. J. High Energ. Phys. 2019, 193 (2019). https://doi.org/10.1007/JHEP03(2019)193
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DOI: https://doi.org/10.1007/JHEP03(2019)193