More on holographic correlators: twisted and dimensionally reduced structures
Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1, 2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform a detailed study of their analytic properties. We point out...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer Nature
2021
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| _version_ | 1797059552959528960 |
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| author | Behan, C Ferrero, P Zhou, X |
| author_facet | Behan, C Ferrero, P Zhou, X |
| author_sort | Behan, C |
| collection | OXFORD |
| description | Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1, 2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform a detailed study of their analytic properties. We point out that these maximally supersymmetric holographic correlators exhibit a hidden dimensional reduction structure à la Parisi and Sourlas. This emergent structure allows the correlators to be compactly expressed in terms of only scalar exchange diagrams in a dimensionally reduced spacetime, where formally both the AdS and the sphere factors have four dimensions less. We also demonstrate the superconformal properties of holographic correlators under the chiral algebra and topological twistings. For AdS × S and AdS × S , we obtain closed form expressions for the meromorphic twisted correlators from the maximally R-symmetry violating limit of the holographic correlators. The results are compared with independent field theory computations in 4d N = 4 SYM and the 6d (2, 0) theory, finding perfect agreement. For AdS × S , we focus on an infinite family of near-extremal four-point correlators, and extract various protected OPE coefficients from supergravity. These OPE coefficients provide new holographic predictions to be matched by future supersymmetric localization calculations. In deriving these results, we also develop many technical tools which should have broader applicability beyond studying holographic correlators. 5 7 4 5 4 7 |
| first_indexed | 2024-03-06T20:05:56Z |
| format | Journal article |
| id | oxford-uuid:28e73be1-1a2d-489b-a853-2ff2b63eb2ed |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:05:56Z |
| publishDate | 2021 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:28e73be1-1a2d-489b-a853-2ff2b63eb2ed2022-03-26T12:15:53ZMore on holographic correlators: twisted and dimensionally reduced structuresJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:28e73be1-1a2d-489b-a853-2ff2b63eb2edEnglishSymplectic ElementsSpringer Nature2021Behan, CFerrero, PZhou, XRecently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1, 2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform a detailed study of their analytic properties. We point out that these maximally supersymmetric holographic correlators exhibit a hidden dimensional reduction structure à la Parisi and Sourlas. This emergent structure allows the correlators to be compactly expressed in terms of only scalar exchange diagrams in a dimensionally reduced spacetime, where formally both the AdS and the sphere factors have four dimensions less. We also demonstrate the superconformal properties of holographic correlators under the chiral algebra and topological twistings. For AdS × S and AdS × S , we obtain closed form expressions for the meromorphic twisted correlators from the maximally R-symmetry violating limit of the holographic correlators. The results are compared with independent field theory computations in 4d N = 4 SYM and the 6d (2, 0) theory, finding perfect agreement. For AdS × S , we focus on an infinite family of near-extremal four-point correlators, and extract various protected OPE coefficients from supergravity. These OPE coefficients provide new holographic predictions to be matched by future supersymmetric localization calculations. In deriving these results, we also develop many technical tools which should have broader applicability beyond studying holographic correlators. 5 7 4 5 4 7 |
| spellingShingle | Behan, C Ferrero, P Zhou, X More on holographic correlators: twisted and dimensionally reduced structures |
| title | More on holographic correlators: twisted and dimensionally reduced structures |
| title_full | More on holographic correlators: twisted and dimensionally reduced structures |
| title_fullStr | More on holographic correlators: twisted and dimensionally reduced structures |
| title_full_unstemmed | More on holographic correlators: twisted and dimensionally reduced structures |
| title_short | More on holographic correlators: twisted and dimensionally reduced structures |
| title_sort | more on holographic correlators twisted and dimensionally reduced structures |
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