Holographic Weyl anomalies for 4d defects in 6d SCFTs
Holographic Weyl anomalies for 4d defects in 6d SCFTs
In this note, we study 1/4- and 1/2-BPS co-dimension two superconformal defects in the 6d 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.
hep-th
Capuozzo, Pietro
bbefa561-1775-4b73-941f-59524a103d68
Estes, John
14bfd492-99c3-492c-80e0-ffac5d26b363
Robinson, Brandon
56901315-b500-40af-9f3b-1b8cbbdfaffb
Suzzoni, Benjamin
2de7c57c-168c-4a9c-a8a9-aedebe2dd05a
19 April 2024
Capuozzo, Pietro
bbefa561-1775-4b73-941f-59524a103d68
Estes, John
14bfd492-99c3-492c-80e0-ffac5d26b363
Robinson, Brandon
56901315-b500-40af-9f3b-1b8cbbdfaffb
Suzzoni, Benjamin
2de7c57c-168c-4a9c-a8a9-aedebe2dd05a
Capuozzo, Pietro, Estes, John, Robinson, Brandon and Suzzoni, Benjamin
(2024)
Holographic Weyl anomalies for 4d defects in 6d SCFTs.
Journal of High Energy Physics, 2024.
(doi:10.48550/arXiv.2310.17447).
Abstract
In this note, we study 1/4- and 1/2-BPS co-dimension two superconformal defects in the 6d 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.
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2310.17447v3
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2310.17447v1
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JHEP04(2024)120
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e-pub ahead of print date: 26 October 2023
Published date: 19 April 2024
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1+48 pages, 2 figures
Keywords:
hep-th
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Local EPrints ID: 483294
URI: http://eprints.soton.ac.uk/id/eprint/483294
ISSN: 1126-6708
PURE UUID: 64797d8b-cb6b-47a2-8500-5059f6e38c3c
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Date deposited: 27 Oct 2023 16:42
Last modified: 23 Apr 2024 02:03
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Author:
John Estes
Author:
Brandon Robinson
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