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Is boundary conformal in CFT?

Nakayama, Yu (2013) Is boundary conformal in CFT? Physical Review D, 87 (4). Art. No. 046005. ISSN 2470-0010. http://resolver.caltech.edu/CaltechAUTHORS:20130314-155234542

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Abstract

We discuss boundary conditions for conformal field theories that preserve the boundary Poincaré invariance. As in the bulk field theories, a question arises whether boundary scale invariance leads to boundary conformal invariance. With unitarity, Cardy’s condition of vanishing momentum flow is necessary for the boundary conformal invariance, but it is not sufficient in general. We show both a proof and a counterexample of the enhancement of boundary conformal invariance in (1+1) dimension, which depends on the extra assumption we make. In (1+2) dimension, Cardy’s condition is shown to be sufficient. In higher dimensions, we give a perturbative argument in favor of the enhancement based on the boundary g-theorem. With the help of the holographic dual recently proposed, we show a holographic proof of the boundary conformal invariance under the assumption of the boundary strict null energy condition, which also gives a sufficient condition for the strong boundary g-theorem.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.87.046005 DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevD.87.046005PublisherUNSPECIFIED
Additional Information:© 2013 American Physical Society. Received 20 November 2012; published 12 February 2013. We would like to thank A. Stergiou, T. Ugajin, and A. Konechny for discussions. This work is supported by Sherman Fairchild Senior Research Fellowship at California Institute of Technology.
Group:Caltech Theory
Funders:
Funding AgencyGrant Number
Caltech Sherman Fairchild Senior Research Fellowship UNSPECIFIED
Issue or Number:4
Classification Code:PACS: 11.25.Hf
Record Number:CaltechAUTHORS:20130314-155234542
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130314-155234542
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37526
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Mar 2013 20:20
Last Modified:06 Sep 2019 22:13

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