Gauge invariance and holographic renormalization
We study the gauge invariance of physical observables in holographic theories under the local diffeomorphism. We find that gauge invariance is intimately related to the holographic renormalization: the local counter terms defined in the boundary cancel most of gauge dependences of the on-shell actio...
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Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315005687 |
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doaj-34673e07b1284f7cbeb7324cd6956e7a2020-11-24T21:48:03ZengElsevierPhysics Letters B0370-26931873-24452015-10-01749C10811410.1016/j.physletb.2015.07.058Gauge invariance and holographic renormalizationKeun-Young Kim0Kyung Kiu Kim1Yunseok Seo2Sang-Jin Sin3School of Physics and Chemistry, Gwangju Institute of Science and Technology, Gwangju 500-712, Republic of KoreaSchool of Physics and Chemistry, Gwangju Institute of Science and Technology, Gwangju 500-712, Republic of KoreaResearch Institute for Natural Science, Hanyang University, Seoul 133-791, Republic of KoreaDepartment of Physics, Hanyang University, Seoul 133-791, Republic of KoreaWe study the gauge invariance of physical observables in holographic theories under the local diffeomorphism. We find that gauge invariance is intimately related to the holographic renormalization: the local counter terms defined in the boundary cancel most of gauge dependences of the on-shell action as well as the divergences. There is a mismatch in the degrees of freedom between the bulk theory and the boundary one. We resolve this problem by noticing that there is a residual gauge symmetry (RGS). By extending the RGS such that it satisfies infalling boundary condition at the horizon, we can understand the problem in the context of general holographic embedding of a global symmetry at the boundary into the local gauge symmetry in the bulk.http://www.sciencedirect.com/science/article/pii/S0370269315005687Gauge/gravity dualityHolographic renormalizationGauge invariance |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Keun-Young Kim Kyung Kiu Kim Yunseok Seo Sang-Jin Sin |
spellingShingle |
Keun-Young Kim Kyung Kiu Kim Yunseok Seo Sang-Jin Sin Gauge invariance and holographic renormalization Physics Letters B Gauge/gravity duality Holographic renormalization Gauge invariance |
author_facet |
Keun-Young Kim Kyung Kiu Kim Yunseok Seo Sang-Jin Sin |
author_sort |
Keun-Young Kim |
title |
Gauge invariance and holographic renormalization |
title_short |
Gauge invariance and holographic renormalization |
title_full |
Gauge invariance and holographic renormalization |
title_fullStr |
Gauge invariance and holographic renormalization |
title_full_unstemmed |
Gauge invariance and holographic renormalization |
title_sort |
gauge invariance and holographic renormalization |
publisher |
Elsevier |
series |
Physics Letters B |
issn |
0370-2693 1873-2445 |
publishDate |
2015-10-01 |
description |
We study the gauge invariance of physical observables in holographic theories under the local diffeomorphism. We find that gauge invariance is intimately related to the holographic renormalization: the local counter terms defined in the boundary cancel most of gauge dependences of the on-shell action as well as the divergences. There is a mismatch in the degrees of freedom between the bulk theory and the boundary one. We resolve this problem by noticing that there is a residual gauge symmetry (RGS). By extending the RGS such that it satisfies infalling boundary condition at the horizon, we can understand the problem in the context of general holographic embedding of a global symmetry at the boundary into the local gauge symmetry in the bulk. |
topic |
Gauge/gravity duality Holographic renormalization Gauge invariance |
url |
http://www.sciencedirect.com/science/article/pii/S0370269315005687 |
work_keys_str_mv |
AT keunyoungkim gaugeinvarianceandholographicrenormalization AT kyungkiukim gaugeinvarianceandholographicrenormalization AT yunseokseo gaugeinvarianceandholographicrenormalization AT sangjinsin gaugeinvarianceandholographicrenormalization |
_version_ |
1725893781080768512 |