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Holographic Renormalization of Probe D-Branes in AdS/CFT

Andreas Karch·Andy O'Bannon·Kostas Skenderis
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Abstract

We perform holographic renormalization for probe branes in AdS_5 x S^5. We show that for four known probe D-branes wrapping an AdS_m x S^n, the counterterms needed to render the action finite are identical to those for the free, massive scalar in AdS_m plus counterterms for the renormalization of the volume of AdS_m. The four cases we consider are the probe D7, two different probe D5's and a probe D3. In the D7 case there are scheme-dependent finite counterterms that can be fixed by supersymmetry.

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Andreas Karch, Andy O'Bannon, Kostas Skenderis. 2006-03-28. Holographic Renormalization of Probe D-Branes in AdS/CFT. https://doi.org/10.1088/1126-6708%2F2006%2F04%2F015

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