Physics Review D 98, 106012 (2018) arXiv link
Open Spin Chains from Determinant Like Operators in ABJM Theory
Hui-Huang Chen1, Hao Ouyang2, Jun-Bao Wu 3, 4*
1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
2. Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden
3. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China
4. Center for High Energy Physics, Peking University, Beijing 100871, China
* Corresponding Author: Jun-Bao Wu (E-mail: junbao.wu@tju.edu.cn )
Abstract:
We study the mixing problem of the determinant like operators in ABJM theory to two loop order in the scalar sector. The gravity duals of these operators are open strings attached to the maximal giant graviton, which is a D4-brane wrapping a CP2 inside CP3 in our case. The anomalous dimension matrix of these operators can be regarded as an open spin chain Hamiltonian. We provide strong evidence of its integrability based on coordinate Bethe ansatz method and boundary Yang-Baxter equation.
