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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)157 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |