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Holographic S-fold theories at one loop
by Connor Behan
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Submission summary
| Authors (as registered SciPost users): | Connor Behan |
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| Preprint Link: | https://arxiv.org/abs/2202.05261v4 (pdf) |
| Date accepted: | 2022-04-21 |
| Date submitted: | 2022-04-12 14:44 |
| Submitted by: | Behan, Connor |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharges which have protected operators dual to gluons in the bulk. The most recent additions to this family were defined using S-folds which combine a spatial identification with an action of the S-duality group in type IIB string theory. Differences between these CFTs which have a dynamical origin first become manifest at one loop. To explore this phenomenon at the level of anomalous dimensions, we use the AdS unitarity method to bootstrap a one-loop double discontinuity. Compared to previous studies, the subsequent analysis is performed without any assumption about which special functions are allowed. Instead, the Casimir singular and Casimir regular terms are extracted iteratively in order to move from one Regge trajectory to the next. Our results show that anomalous dimensions in the presence of an S-fold are no longer rational functions of the spin.
List of changes
In accordance with the referee comments:
1. Section 4.3.3 has been added to report spin-1 and spin-2 anomalous dimensions for the k=2 S-fold.
2. Section 4.5 has been added to discuss the one-loop Mellin amplitude.
3. A paragraph has been added to section 5 about which complications might arise in other theories.
Additionally:
4. There are now a few more citations to prior work on holographic correlators.
5. The main results previously had a sign error and a more substantial coefficient error in the k=4 case. These have been corrected.
Published as SciPost Phys. 12, 149 (2022)