Universal RG flows across dimensions and holography
Abstract We study RG flows between superconformal field theories living in different spacetime dimensions which exhibit universal properties, independent of the details of the UV and IR theories. In particular, when the UV and IR theories are both even-dimensional we establish exact universal relati...
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Online Access: | http://link.springer.com/article/10.1007/JHEP12(2017)065 |
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doaj-67a353955948493ea23179127c024e6c2020-11-24T21:13:28ZengSpringerOpenJournal of High Energy Physics1029-84792017-12-0120171215710.1007/JHEP12(2017)065Universal RG flows across dimensions and holographyNikolay Bobev0P. Marcos Crichigno1Instituut voor Theoretische Fysica, KU LeuvenInstitute for Theoretical Physics, University of AmsterdamAbstract We study RG flows between superconformal field theories living in different spacetime dimensions which exhibit universal properties, independent of the details of the UV and IR theories. In particular, when the UV and IR theories are both even-dimensional we establish exact universal relations between their conformal anomaly coefficients. We also provide strong evidence for similar relations between appropriately defined free energies for RG flows between odd-dimensional theories in the large N limit. Holographically, these RG flows across dimensions are described by asymptotically AdS black branes in a gauged supergravity theory, which we exhibit explicitly. We also discuss the uplift of these solutions to string and M-theory and comment on how the entropy of such black branes is captured by the dual field theory.http://link.springer.com/article/10.1007/JHEP12(2017)065AdS-CFT CorrespondenceAnomalies in Field and String TheoriesRenormalization GroupConformal Field Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nikolay Bobev P. Marcos Crichigno |
spellingShingle |
Nikolay Bobev P. Marcos Crichigno Universal RG flows across dimensions and holography Journal of High Energy Physics AdS-CFT Correspondence Anomalies in Field and String Theories Renormalization Group Conformal Field Theory |
author_facet |
Nikolay Bobev P. Marcos Crichigno |
author_sort |
Nikolay Bobev |
title |
Universal RG flows across dimensions and holography |
title_short |
Universal RG flows across dimensions and holography |
title_full |
Universal RG flows across dimensions and holography |
title_fullStr |
Universal RG flows across dimensions and holography |
title_full_unstemmed |
Universal RG flows across dimensions and holography |
title_sort |
universal rg flows across dimensions and holography |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-12-01 |
description |
Abstract We study RG flows between superconformal field theories living in different spacetime dimensions which exhibit universal properties, independent of the details of the UV and IR theories. In particular, when the UV and IR theories are both even-dimensional we establish exact universal relations between their conformal anomaly coefficients. We also provide strong evidence for similar relations between appropriately defined free energies for RG flows between odd-dimensional theories in the large N limit. Holographically, these RG flows across dimensions are described by asymptotically AdS black branes in a gauged supergravity theory, which we exhibit explicitly. We also discuss the uplift of these solutions to string and M-theory and comment on how the entropy of such black branes is captured by the dual field theory. |
topic |
AdS-CFT Correspondence Anomalies in Field and String Theories Renormalization Group Conformal Field Theory |
url |
http://link.springer.com/article/10.1007/JHEP12(2017)065 |
work_keys_str_mv |
AT nikolaybobev universalrgflowsacrossdimensionsandholography AT pmarcoscrichigno universalrgflowsacrossdimensionsandholography |
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1716749052330115072 |