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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Main Authors: Jun-Bao Wu, Peihe Yang
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Journal of High Energy Physics
Subjects:
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
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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
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AT peiheyang threepointfunctionsinaharonybergmanjafferismaldacenatheoryandintegrableboundarystates