Two-loop integrability of ABJM open spin chain from giant graviton

Author:

Bai Nan,Chen Hui-HuangORCID,Ouyang HaoORCID,Wu Jun-Bao

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Wilson-loop one-point functions in ABJM theory;Journal of High Energy Physics;2023-09-08

2. Integrable boundary conditions for staggered vertex models;Journal of Physics A: Mathematical and Theoretical;2023-01-13

3. Correlation functions of determinant operators in conformal fishnet theory;Journal of High Energy Physics;2022-06-13

4. Three-point functions in ABJM and Bethe Ansatz;Journal of High Energy Physics;2022-01

5. Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton;Journal of High Energy Physics;2019-08

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