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arXiv · 1901.03949

Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton

Nan Bai·Hui-Huang Chen·Hao Ouyang·Jun-Bao Wu
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Abstract

We prove the integrability of the two-loop open spin chain Hamiltonian from ABJM determinant like operators given in arXiv:1809.09941. 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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Nan Bai, Hui-Huang Chen, Hao Ouyang, Jun-Bao Wu. 2019-03-31. Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton. https://doi.org/10.1007/jhep03(2019)193

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