Double trace interfaces

Double trace interfaces

Abstract We introduce and study renormalization group interfaces between two holographic conformal theories which are related by deformation by a scalar double trace operator. At leading order in the 1/N expansion, we derive expressions for the two point correlation functions of the scalar, as well...

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Bibliographic Details
Main Authors: Charles M. Melby-Thompson, Cornelius Schmidt-Colinet
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Conformal and W Symmetry
Renormalization Group
Online Access:http://link.springer.com/article/10.1007/JHEP11(2017)110
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spelling doaj-5eba52bf382e4a8f92fc1f3080cd007c2020-11-24T20:51:11ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171115510.1007/JHEP11(2017)110Double trace interfacesCharles M. Melby-Thompson0Cornelius Schmidt-Colinet1Department of Physics, Fudan UniversityArnold Sommerfeld Center, Ludwig-Maximilians-UniversitätAbstract We introduce and study renormalization group interfaces between two holographic conformal theories which are related by deformation by a scalar double trace operator. At leading order in the 1/N expansion, we derive expressions for the two point correlation functions of the scalar, as well as the spectrum of operators living on the interface. We also compute the interface contribution to the sphere partition function, which in two dimensions gives the boundary g factor. Checks of our proposal include reproducing the g factor and some defect overlap coefficients of Gaiotto’s RG interfaces at large N , and the two-point correlation function whenever conformal perturbation theory is valid.http://link.springer.com/article/10.1007/JHEP11(2017)110AdS-CFT CorrespondenceConformal and W SymmetryRenormalization Group
collection DOAJ
language English
format Article
sources DOAJ
author Charles M. Melby-Thompson
Cornelius Schmidt-Colinet
spellingShingle Charles M. Melby-Thompson
Cornelius Schmidt-Colinet
Double trace interfaces
Journal of High Energy Physics
AdS-CFT Correspondence
Conformal and W Symmetry
Renormalization Group
author_facet Charles M. Melby-Thompson
Cornelius Schmidt-Colinet
author_sort Charles M. Melby-Thompson
title Double trace interfaces
title_short Double trace interfaces
title_full Double trace interfaces
title_fullStr Double trace interfaces
title_full_unstemmed Double trace interfaces
title_sort double trace interfaces
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2017-11-01
description Abstract We introduce and study renormalization group interfaces between two holographic conformal theories which are related by deformation by a scalar double trace operator. At leading order in the 1/N expansion, we derive expressions for the two point correlation functions of the scalar, as well as the spectrum of operators living on the interface. We also compute the interface contribution to the sphere partition function, which in two dimensions gives the boundary g factor. Checks of our proposal include reproducing the g factor and some defect overlap coefficients of Gaiotto’s RG interfaces at large N , and the two-point correlation function whenever conformal perturbation theory is valid.
topic AdS-CFT Correspondence
Conformal and W Symmetry
Renormalization Group
url http://link.springer.com/article/10.1007/JHEP11(2017)110
work_keys_str_mv AT charlesmmelbythompson doubletraceinterfaces
AT corneliusschmidtcolinet doubletraceinterfaces
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