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arXiv · 1512.09319

Holography without counter terms

Byoungjoon Ahn·Seungjoon Hyun·Kyung Kiu Kim·Sang-A Park·Sang-Heon Yi
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Abstract

By considering the behavior of the reduced action under the scaling transformation, we present a unified derivation of the Smarr-like relation for asymptotically anti-de-Sitter planar black holes. This novel Smarr-like relation leads to useful information in the condensed matter systems through the AdS/CMT correspondence. By using our results, we provide an efficient way to obtain the holographically renormalized on-shell action without the information on the explicit forms of counter terms. We find the complete consistency of our results with those in various models discussed in the recent literatures and obtain new implications.

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Byoungjoon Ahn, Seungjoon Hyun, Kyung Kiu Kim, Sang-A Park, Sang-Heon Yi. 2015-12-31. Holography without counter terms. https://doi.org/10.1103/physrevd.94.024043

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