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Two-loop integrability of ABJM open spin chain from giant graviton
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 42019 (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
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:su:diva-168604DOI: 10.1007/JHEP03(2019)193ISI: 000462978800001OAI: oai:DiVA.org:su-168604DiVA, id: diva2:1315282
Available from: 2019-05-13 Created: 2019-05-13 Last updated: 2019-05-13Bibliographically approved

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