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Gauge Invariance and Holographic Renormalization · Around

2015

Gauge Invariance and Holographic Renormalization

Kim, Keun-Young, Kim, Kyung Kiu, Seo, Yunseok et al.

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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 renormalisation: 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).

Built on

E. Witten, Anti-de Sitter space and holography
1998
Earlier work this paper cites.
M. Bianchi, D. Z. Freedman, and K. Skenderis, Holographic renormalization
2002
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski space correlators in AdS / CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
S. A. Hartnoll and P. Kovtun, Hall conductivity from dyonic black holes
Original
2007
Earlier work this paper cites.

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