Revisiting extremal couplings in AdS/CFT
Abstract We consider an effective theory of massive scalar fields on a fixed AdS d+1 background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT d operators matches the sum of all the others. For cu...
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| Format: | Article |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)157 |
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| author | Alejandra Castro Pedro J. Martinez |
| author_facet | Alejandra Castro Pedro J. Martinez |
| author_sort | Alejandra Castro |
| collection | DOAJ |
| description | Abstract We consider an effective theory of massive scalar fields on a fixed AdS d+1 background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT d operators matches the sum of all the others. For cubic bulk couplings, this is ∆ i + ∆ j = ∆ k . These bulk interactions are often disregarded in the literature since they do not appear in traditional models of AdS/CFT. Turning them on yields a divergent vertex in the dual CFT, and here we show that these divergences can be regulated. Once renormalized, we demonstrate that this coupling introduces non-trivial mixing between single- and double-trace operators, and we compute the anomalous dimensions of the corrected operators to leading order in perturbation theory. |
| format | Article |
| id | doaj-art-746b2326eb924ac1b3cb8d610398741b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-746b2326eb924ac1b3cb8d610398741b2025-01-05T12:05:56ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213310.1007/JHEP12(2024)157Revisiting extremal couplings in AdS/CFTAlejandra Castro0Pedro J. Martinez1Department of Applied Mathematics and Theoretical Physics, University of CambridgeInstituto de Física La Plata — CONICET, Universidad Nacional de La PlataAbstract We consider an effective theory of massive scalar fields on a fixed AdS d+1 background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT d operators matches the sum of all the others. For cubic bulk couplings, this is ∆ i + ∆ j = ∆ k . These bulk interactions are often disregarded in the literature since they do not appear in traditional models of AdS/CFT. Turning them on yields a divergent vertex in the dual CFT, and here we show that these divergences can be regulated. Once renormalized, we demonstrate that this coupling introduces non-trivial mixing between single- and double-trace operators, and we compute the anomalous dimensions of the corrected operators to leading order in perturbation theory.https://doi.org/10.1007/JHEP12(2024)157AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Alejandra Castro Pedro J. Martinez Revisiting extremal couplings in AdS/CFT Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Revisiting extremal couplings in AdS/CFT |
| title_full | Revisiting extremal couplings in AdS/CFT |
| title_fullStr | Revisiting extremal couplings in AdS/CFT |
| title_full_unstemmed | Revisiting extremal couplings in AdS/CFT |
| title_short | Revisiting extremal couplings in AdS/CFT |
| title_sort | revisiting extremal couplings in ads cft |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP12(2024)157 |
| work_keys_str_mv | AT alejandracastro revisitingextremalcouplingsinadscft AT pedrojmartinez revisitingextremalcouplingsinadscft |