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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2017-11-01
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Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)110 |
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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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1716802492299214848 |