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

A bstract 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 integrabi...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2019; no. 3; pp. 1 - 21
Main Authors Bai, Nan, Chen, Hui-Huang, Ouyang, Hao, Wu, Jun-Bao
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2019
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Bethe Ansatz
Chains
Chern-Simons Theories
Classical and Quantum Gravitation
Eigenvalues
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Transfer matrices
AdS-CFT Correspondence
Chern-Simons Theories
Bethe Ansatz
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Summary:A bstract 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.
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP03(2019)193