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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.03643 |
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| _version_ | 1866929725497147392 |
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| author | Wu, Jun-Bao Yang, Peihe |
| author_facet | Wu, Jun-Bao Yang, Peihe |
| contents | 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 being $1/3$-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 only 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 integrable cases utilizing the symmetries preserved by the correlators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03643 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States Wu, Jun-Bao Yang, Peihe High Energy Physics - Theory 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 being $1/3$-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 only 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 integrable cases utilizing the symmetries preserved by the correlators. |
| title | Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.03643 |