Abstract
In this note, we study 1/4- and 1/2-BPS co-dimension two superconformal defects in the 6d \( \mathcal{N} \) = (2, 0) AN−1 SCFT at large N using their holographic descriptions as solutions of 11d supergravity. In this regime, we are able to compute the defect contribution to the sphere entanglement entropy and the change in the stress-energy tensor one-point function due to the presence of the defect using holography. From these quantities, we are then able to unambiguously compute the values for two of the twenty-nine total Weyl anomaly coefficients that characterize 4d conformal defects in six and higher dimensions. We are able to demonstrate the consistency of the supergravity description of the defect theories with the average null energy condition on the field theory side. For each class of defects that we consider, we also show that the A-type Weyl anomaly coefficient is non-negative. Lastly, we uncover and resolve a discrepancy between the on-shell action of the 7d 1/4-BPS domain wall solutions and that of their 11d uplift.
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Acknowledgments
The authors would like to thank Pieter Bomans, Michael Gutperle, and Andy O’Bannon for useful discussions throughout this work. We would also like to thank Pieter Bomans and Michael Gutperle for comments on the draft. JE would also like to thank the EIC Theory Institute at BNL for partial financial support and warm hospitality while this work was being completed. The work of PC is supported by a Mayflower studentship from the University of Southampton. The work of BR is supported by the INFN. The work of BS is supported in part by the STFC consolidated grant ST/T000775/1. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award Number DE-SC0024557.
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Capuozzo, P., Estes, J., Robinson, B. et al. Holographic Weyl anomalies for 4d defects in 6d SCFTs. J. High Energ. Phys. 2024, 120 (2024). https://doi.org/10.1007/JHEP04(2024)120
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DOI: https://doi.org/10.1007/JHEP04(2024)120