Content area
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.
Details
Title
Two-loop integrability of ABJM open spin chain from giant graviton
Author
Bai, Nan 1 ; Hui-Huang, Chen 2
; Ouyang, Hao 3
; Jun-Bao, Wu 4
1 Department of Physics, Guangxi Normal University, Guilin, China
2 College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, China
3 Nordita, KTH Royal Institute of Technology and Stockholm University, Stockholm, Sweden
4 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin, China; Center for High Energy Physics, Peking University, Beijing, China
; Ouyang, Hao 3
; Jun-Bao, Wu 4 1 Department of Physics, Guangxi Normal University, Guilin, China
2 College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, China
3 Nordita, KTH Royal Institute of Technology and Stockholm University, Stockholm, Sweden
4 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin, China; Center for High Energy Physics, Peking University, Beijing, China
Pages
1-21
Publication year
2019
Publication date
Mar 2019
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2199707510
Copyright
Journal of High Energy Physics is a copyright of Springer, (2019). All Rights Reserved.