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Holographic renormalization of probe D-branes in AdS/CFT

2006; Springer Nature; Volume: 2006; Issue: 04 Linguagem: Inglês

10.1088/1126-6708/2006/04/015

1127-2236

Andreas Karch, Andy O’Bannon, Kostas Skenderis,

Noncommutative and Quantum Gravity Theories

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.