The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

From the Weyl anomaly to entropy of two-dimensional boundaries and defects

From the Weyl anomaly to entropy of two-dimensional boundaries and defects
From the Weyl anomaly to entropy of two-dimensional boundaries and defects
We study whether the relations between the Weyl anomaly, entanglement entropy (EE), and thermal entropy of a two-dimensional (2D) conformal field theory (CFT) extend to 2D boundaries of 3D CFTs, or 2D defects of D≥3 CFTs. The Weyl anomaly of a 2D boundary or defect defines two or three central charges, respectively. One of these, b, obeys a c-theorem, as in 2D CFT. For a 2D defect, we show that another, d2, interpreted as the defect's 'conformal dimension,' must be non-negative by the Averaged Null Energy Condition (ANEC). We show that the EE of a sphere centered on a planar defect has a logarithmic contribution from the defect fixed by b and d2. Using this and known holographic results, we compute b and d2 for 1/2-BPS surface operators in the maximally supersymmetric (SUSY) 4D and 6D CFTs. The results are consistent with b's c-theorem. Via free field and holographic examples we show that no universal 'Cardy formula' relates the central charges to thermal entropy.
1079-7114
Jensen, Kristan
1aa6bec5-5b04-4014-b008-ace89ed2884c
O'Bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Robinson, Brandon
56901315-b500-40af-9f3b-1b8cbbdfaffb
Rodgers, Ronald, James
50624100-db56-478e-9b46-0db869df1020
Jensen, Kristan
1aa6bec5-5b04-4014-b008-ace89ed2884c
O'Bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Robinson, Brandon
56901315-b500-40af-9f3b-1b8cbbdfaffb
Rodgers, Ronald, James
50624100-db56-478e-9b46-0db869df1020

Jensen, Kristan, O'Bannon, Andrew, Robinson, Brandon and Rodgers, Ronald, James (2019) From the Weyl anomaly to entropy of two-dimensional boundaries and defects. Physical Review Letters, 122, [241602]. (doi:10.1103/PhysRevLett.122.241602).

Record type: Letter

Abstract

We study whether the relations between the Weyl anomaly, entanglement entropy (EE), and thermal entropy of a two-dimensional (2D) conformal field theory (CFT) extend to 2D boundaries of 3D CFTs, or 2D defects of D≥3 CFTs. The Weyl anomaly of a 2D boundary or defect defines two or three central charges, respectively. One of these, b, obeys a c-theorem, as in 2D CFT. For a 2D defect, we show that another, d2, interpreted as the defect's 'conformal dimension,' must be non-negative by the Averaged Null Energy Condition (ANEC). We show that the EE of a sphere centered on a planar defect has a logarithmic contribution from the defect fixed by b and d2. Using this and known holographic results, we compute b and d2 for 1/2-BPS surface operators in the maximally supersymmetric (SUSY) 4D and 6D CFTs. The results are consistent with b's c-theorem. Via free field and holographic examples we show that no universal 'Cardy formula' relates the central charges to thermal entropy.

Text
1812.08745 - Accepted Manuscript
Download (507kB)

More information

Accepted/In Press date: 10 May 2019
e-pub ahead of print date: 19 June 2019
Published date: 2019

Identifiers

Local EPrints ID: 430893
URI: http://eprints.soton.ac.uk/id/eprint/430893
ISSN: 1079-7114
PURE UUID: 90168d5b-0db8-42e9-b017-1de73fa02406
ORCID for Andrew O'Bannon: ORCID iD orcid.org/0000-0001-7862-783X
ORCID for Ronald, James Rodgers: ORCID iD orcid.org/0000-0002-4826-6540

Catalogue record

Date deposited: 17 May 2019 16:30
Last modified: 26 Nov 2021 06:12

Export record

Altmetrics

Contributors

Author: Kristan Jensen
Author: Andrew O'Bannon ORCID iD
Author: Brandon Robinson
Author: Ronald, James Rodgers ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×