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Two-loop integrability of ABJM open spin chain from giant graviton
Guangxi Normal Univ, Dept Phys, Guilin 541004, Peoples R China..
Jiangxi Normal Univ, Coll Phys & Commun Elect, Nanchang 330022, Jiangxi, Peoples R China..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden..
Tianjin Univ, Ctr Joint Quantum Studies, 135 Yaguan Rd, Tianjin 300350, Peoples R China.;Tianjin Univ, Sch Sci, Dept Phys, 135 Yaguan Rd, Tianjin 300350, Peoples R China.;Peking Univ, Ctr High Energy Phys, 5 Yiheyuan Rd, Beijing 100871, Peoples R China..
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, article id 193Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
SPRINGER , 2019. no 3, article id 193
Keywords [en]
Bethe Ansatz, Chern-Simons Theories, AdS-CFT Correspondence
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-249808DOI: 10.1007/JHEP03(2019)193ISI: 000462978800001Scopus ID: 2-s2.0-85063620443OAI: oai:DiVA.org:kth-249808DiVA, id: diva2:1306266
Note

QC 20190423

Available from: 2019-04-23 Created: 2019-04-23 Last updated: 2019-04-23Bibliographically approved

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