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Constraint on defect and boundary renormalization group flows

Constraint on defect and boundary renormalization group flows
Constraint on defect and boundary renormalization group flows
A conformal field theory (CFT) in dimension d>_3 coupled to a planar, two-dimensional, conformal defect is characterized in part by a “central charge” b that multiplies the Euler density in the defect’s Weyl anomaly. For defect renormalization group flows, under which the bulk remains critical, we use reflection positivity to show that b must decrease or remain constant from the ultraviolet to the infrared. Our result applies also to a CFT in d=3 flat space with a planar boundary.
1-5
Jensen, Kristan
1aa6bec5-5b04-4014-b008-ace89ed2884c
O'Bannon, Andy
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Jensen, Kristan
1aa6bec5-5b04-4014-b008-ace89ed2884c
O'Bannon, Andy
f0c14b6c-5b74-4319-8432-f9eba1e20cf3

Jensen, Kristan and O'Bannon, Andy (2016) Constraint on defect and boundary renormalization group flows. Physical Review Letters, 116 (9), 1-5, [091601]. (doi:10.1103/PhysRevLett.116.091601).

Record type: Letter

Abstract

A conformal field theory (CFT) in dimension d>_3 coupled to a planar, two-dimensional, conformal defect is characterized in part by a “central charge” b that multiplies the Euler density in the defect’s Weyl anomaly. For defect renormalization group flows, under which the bulk remains critical, we use reflection positivity to show that b must decrease or remain constant from the ultraviolet to the infrared. Our result applies also to a CFT in d=3 flat space with a planar boundary.

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Accepted/In Press date: 22 January 2016
e-pub ahead of print date: 3 March 2016
Published date: 3 March 2016
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 401408
URI: http://eprints.soton.ac.uk/id/eprint/401408
DOI: doi:10.1103/PhysRevLett.116.091601
PURE UUID: c41c6b79-817b-40b1-abfb-03fd9edb67e1
ORCID for Andy O'Bannon: ORCID iD orcid.org/0000-0001-7862-783X

Catalogue record

Date deposited: 17 Oct 2016 12:55
Last modified: 15 Mar 2024 02:46

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Contributors

Author: Kristan Jensen
Author: Andy O'Bannon ORCID iD

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