Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states
Abstract We investigate the correlators of three single-trace operators in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the perspective of integrable boundary states. Specifically, we focus on scenarios where two operators are 1/3-BPS and the entire correlation function is considered within...
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2025-02-01
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Online Access: | https://doi.org/10.1007/JHEP02(2025)030 |
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author | Jun-Bao Wu Peihe Yang |
author_facet | Jun-Bao Wu Peihe Yang |
author_sort | Jun-Bao Wu |
collection | DOAJ |
description | Abstract We investigate the correlators of three single-trace operators in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the perspective of integrable boundary states. Specifically, we focus on scenarios where two operators are 1/3-BPS and the entire correlation function is considered within the twisted-translated frame. The correlator can be expressed as the overlap between a boundary state and a Bethe state. It is found that the boundary state formed by the two 1/3-BPS operators is integrable when the number of Wick contractions between the non-BPS operator and one of the 1/3-BPS operators is 0 or 1. We compute the overlaps for the proven integrable cases utilizing the symmetries and the coordinate Bethe ansatz. |
format | Article |
id | doaj-art-65e4b913d59b4788b320811de3cc7f52 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2025-02-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-65e4b913d59b4788b320811de3cc7f522025-02-09T12:08:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025212110.1007/JHEP02(2025)030Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary statesJun-Bao Wu0Peihe Yang1Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityCenter for High Energy Physics, Peking UniversityAbstract We investigate the correlators of three single-trace operators in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the perspective of integrable boundary states. Specifically, we focus on scenarios where two operators are 1/3-BPS and the entire correlation function is considered within the twisted-translated frame. The correlator can be expressed as the overlap between a boundary state and a Bethe state. It is found that the boundary state formed by the two 1/3-BPS operators is integrable when the number of Wick contractions between the non-BPS operator and one of the 1/3-BPS operators is 0 or 1. We compute the overlaps for the proven integrable cases utilizing the symmetries and the coordinate Bethe ansatz.https://doi.org/10.1007/JHEP02(2025)030Chern-Simons TheoriesLattice Integrable ModelsSupersymmetric Gauge Theory |
spellingShingle | Jun-Bao Wu Peihe Yang Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states Journal of High Energy Physics Chern-Simons Theories Lattice Integrable Models Supersymmetric Gauge Theory |
title | Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states |
title_full | Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states |
title_fullStr | Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states |
title_full_unstemmed | Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states |
title_short | Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states |
title_sort | three point functions in aharony bergman jafferis maldacena theory and integrable boundary states |
topic | Chern-Simons Theories Lattice Integrable Models Supersymmetric Gauge Theory |
url | https://doi.org/10.1007/JHEP02(2025)030 |
work_keys_str_mv | AT junbaowu threepointfunctionsinaharonybergmanjafferismaldacenatheoryandintegrableboundarystates AT peiheyang threepointfunctionsinaharonybergmanjafferismaldacenatheoryandintegrableboundarystates |