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Gauge invariance and holographic renormalization

By Republic of Korea 500-712 Gwangju Gwangju Institute of Science and Technology Keun-YoungSchool of Physics and Chemistry Kim, Republic of Korea) 500-712 Gwangju Gwangju Institute of Science and Technology Kyung Kiu(School of Physics and Chemistry Kim, Republic of Korea) 133-791 Seoul Hanyang University Yunseok(Research Institute for Natural Science Seo and Republic of Korea) 133-791 Seoul Hanyang University Sang-Jin(Department of Physics Sin

Abstract

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

Year: 2015
DOI identifier: 10.1016/j.physletb.2015.07.058
OAI identifier: oai:www.openaccessrepository.it:15264

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