ABJM at strong coupling from M-theory, localization, and Lorentzian inversion
We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level k = 2, which in the large N limit is holographically dual to weakly coupled M-theory on AdS4 × S7/ℤ2. We use the Lorentzian inversion to compute the 1-loop correction to...
| Główni autorzy: | , , |
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| Format: | Journal article |
| Język: | English |
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Springer
2022
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| _version_ | 1826307893866004480 |
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| author | Alday, LF Chester, SM Raj, H |
| author_facet | Alday, LF Chester, SM Raj, H |
| author_sort | Alday, LF |
| collection | OXFORD |
| description | We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level k = 2, which in the large N limit is holographically dual to weakly coupled M-theory on AdS4 × S7/ℤ2. We use the Lorentzian inversion to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R4 vertices, up to a finite number of contact terms that contribute to low spins where the inversion formula does not converge. We find a precise match with the corresponding terms in the 11d M-theory S-matrix by taking the flat space limit, which is not sensitive to these contact terms. We then conjecturally fix these contact terms by analytically continuing the inversion formula below its expected range of convergence, and verify this conjecture using supersymmetric localization. Finally, we compare some of the 1-loop CFT data to non-perturbative in N bounds from the numerical conformal bootstrap, which we compute at unprecedently high accuracy, and find that the 1-loop corrections saturate the bounds in the large N regime, which extends the previously observed match at tree level. |
| first_indexed | 2024-03-07T07:09:51Z |
| format | Journal article |
| id | oxford-uuid:d7fa037b-7f49-4da5-bd32-cd90f2d47e59 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:09:51Z |
| publishDate | 2022 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:d7fa037b-7f49-4da5-bd32-cd90f2d47e592022-06-10T15:44:24ZABJM at strong coupling from M-theory, localization, and Lorentzian inversionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d7fa037b-7f49-4da5-bd32-cd90f2d47e59EnglishSymplectic ElementsSpringer2022Alday, LFChester, SMRaj, HWe study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level k = 2, which in the large N limit is holographically dual to weakly coupled M-theory on AdS4 × S7/ℤ2. We use the Lorentzian inversion to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R4 vertices, up to a finite number of contact terms that contribute to low spins where the inversion formula does not converge. We find a precise match with the corresponding terms in the 11d M-theory S-matrix by taking the flat space limit, which is not sensitive to these contact terms. We then conjecturally fix these contact terms by analytically continuing the inversion formula below its expected range of convergence, and verify this conjecture using supersymmetric localization. Finally, we compare some of the 1-loop CFT data to non-perturbative in N bounds from the numerical conformal bootstrap, which we compute at unprecedently high accuracy, and find that the 1-loop corrections saturate the bounds in the large N regime, which extends the previously observed match at tree level. |
| spellingShingle | Alday, LF Chester, SM Raj, H ABJM at strong coupling from M-theory, localization, and Lorentzian inversion |
| title | ABJM at strong coupling from M-theory, localization, and Lorentzian inversion |
| title_full | ABJM at strong coupling from M-theory, localization, and Lorentzian inversion |
| title_fullStr | ABJM at strong coupling from M-theory, localization, and Lorentzian inversion |
| title_full_unstemmed | ABJM at strong coupling from M-theory, localization, and Lorentzian inversion |
| title_short | ABJM at strong coupling from M-theory, localization, and Lorentzian inversion |
| title_sort | abjm at strong coupling from m theory localization and lorentzian inversion |
| work_keys_str_mv | AT aldaylf abjmatstrongcouplingfrommtheorylocalizationandlorentzianinversion AT chestersm abjmatstrongcouplingfrommtheorylocalizationandlorentzianinversion AT rajh abjmatstrongcouplingfrommtheorylocalizationandlorentzianinversion |