Boundary string current & Weyl anomaly in six-dimensional conformal field theory
Abstract It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum [1]. It was also shown that this “...
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doaj-8416a64bc9c34c66ab4703d15e4840ae2020-11-25T03:55:54ZengSpringerOpenJournal of High Energy Physics1029-84792019-07-012019711810.1007/JHEP07(2019)151Boundary string current & Weyl anomaly in six-dimensional conformal field theoryChong-Sun Chu0Rong-Xin Miao1Physics Division, National Center for Theoretical Sciences, National Tsing-Hua UniversitySchool of Physics and Astronomy, Sun Yat-Sen UniversityAbstract It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum [1]. It was also shown that this “magnetic Casimir effect” of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system [2]. In this paper, we generalize this four dimensional effect to six dimensions. We use the AdS/BCFT holography to show that in the presence of a 3-form magnetic field strength H, a string current is induced in a six dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six dimensional conformal field theory in a H-flux background. For the (2,0) superconformal field theory of N M5-branes, the current has a magnitude proportional to N 3 for large N. This suggests that the degree of freedoms scales as N 3 in the (2,0) superconformal theory of N multiple M5-branes. The prediction we have for the Weyl anomaly is a new criteria that the (2,0) theory should satisfy.http://link.springer.com/article/10.1007/JHEP07(2019)151AdS-CFT CorrespondenceAnomalies in Field and String TheoriesM-Theory |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chong-Sun Chu Rong-Xin Miao |
spellingShingle |
Chong-Sun Chu Rong-Xin Miao Boundary string current & Weyl anomaly in six-dimensional conformal field theory Journal of High Energy Physics AdS-CFT Correspondence Anomalies in Field and String Theories M-Theory |
author_facet |
Chong-Sun Chu Rong-Xin Miao |
author_sort |
Chong-Sun Chu |
title |
Boundary string current & Weyl anomaly in six-dimensional conformal field theory |
title_short |
Boundary string current & Weyl anomaly in six-dimensional conformal field theory |
title_full |
Boundary string current & Weyl anomaly in six-dimensional conformal field theory |
title_fullStr |
Boundary string current & Weyl anomaly in six-dimensional conformal field theory |
title_full_unstemmed |
Boundary string current & Weyl anomaly in six-dimensional conformal field theory |
title_sort |
boundary string current & weyl anomaly in six-dimensional conformal field theory |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-07-01 |
description |
Abstract It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum [1]. It was also shown that this “magnetic Casimir effect” of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system [2]. In this paper, we generalize this four dimensional effect to six dimensions. We use the AdS/BCFT holography to show that in the presence of a 3-form magnetic field strength H, a string current is induced in a six dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six dimensional conformal field theory in a H-flux background. For the (2,0) superconformal field theory of N M5-branes, the current has a magnitude proportional to N 3 for large N. This suggests that the degree of freedoms scales as N 3 in the (2,0) superconformal theory of N multiple M5-branes. The prediction we have for the Weyl anomaly is a new criteria that the (2,0) theory should satisfy. |
topic |
AdS-CFT Correspondence Anomalies in Field and String Theories M-Theory |
url |
http://link.springer.com/article/10.1007/JHEP07(2019)151 |
work_keys_str_mv |
AT chongsunchu boundarystringcurrentweylanomalyinsixdimensionalconformalfieldtheory AT rongxinmiao boundarystringcurrentweylanomalyinsixdimensionalconformalfieldtheory |
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1724467494490472448 |