Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton

Abstract In our previous work, the two-loop integrability of ABJM determinant like operator has been well established. In this paper, we push the integrability to all loop orders. The asymptotic Bethe ansatz equations for ABJM determinant like operator (open string attached on giant graviton) are ob...

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Main Author: Hui-Huang Chen
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2019)109
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author Hui-Huang Chen
author_facet Hui-Huang Chen
author_sort Hui-Huang Chen
collection DOAJ
description Abstract In our previous work, the two-loop integrability of ABJM determinant like operator has been well established. In this paper, we push the integrability to all loop orders. The asymptotic Bethe ansatz equations for ABJM determinant like operator (open string attached on giant graviton) are obtained. In the derivation, the symmetries preserved by the bulk and the boundary played a crucial role. Taking the weak coupling limit and applying appropriate fermionic dualities, we obtained a different set of scalar sector Bethe equations with our previous results. When the “gauge” transformation on Bethe equations was introduced, the discrepancy disappeared.
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spelling doaj.art-c50fac81f9454b20a6adda51890e53b42022-12-22T00:36:24ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019811910.1007/JHEP08(2019)109Asymptotic Bethe ansatz of ABJM open spin chain from giant gravitonHui-Huang Chen0College of Physics and Communication Electronics, Jiangxi Normal UniversityAbstract In our previous work, the two-loop integrability of ABJM determinant like operator has been well established. In this paper, we push the integrability to all loop orders. The asymptotic Bethe ansatz equations for ABJM determinant like operator (open string attached on giant graviton) are obtained. In the derivation, the symmetries preserved by the bulk and the boundary played a crucial role. Taking the weak coupling limit and applying appropriate fermionic dualities, we obtained a different set of scalar sector Bethe equations with our previous results. When the “gauge” transformation on Bethe equations was introduced, the discrepancy disappeared.http://link.springer.com/article/10.1007/JHEP08(2019)109AdS-CFT CorrespondenceBethe AnsatzIntegrable Field Theories
spellingShingle Hui-Huang Chen
Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
Journal of High Energy Physics
AdS-CFT Correspondence
Bethe Ansatz
Integrable Field Theories
title Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
title_full Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
title_fullStr Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
title_full_unstemmed Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
title_short Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
title_sort asymptotic bethe ansatz of abjm open spin chain from giant graviton
topic AdS-CFT Correspondence
Bethe Ansatz
Integrable Field Theories
url http://link.springer.com/article/10.1007/JHEP08(2019)109
work_keys_str_mv AT huihuangchen asymptoticbetheansatzofabjmopenspinchainfromgiantgraviton