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Holographic S-fold theories at one loop

by Connor Behan

This Submission thread is now published as SciPost Phys. 12, 149 (2022)

Submission summary

As Contributors: Connor Behan
Arxiv 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
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
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.

Published as SciPost Phys. 12, 149 (2022)



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.


Reports on this Submission

Anonymous Report 1 on 2022-4-12 (Invited Report)

Report

With the new corrections, I think the draft is ready for submission. I think it would be nice if the $k>2$ case could also be given an exact expression, but perhaps that will require new methods.

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