Holographic renormalization of probe D-branes in AdS/CFT

By A. Karch, A. O’Bannon, Kostas Skenderis. Journal of High Energy Physics, 2005

198 citations recorded by the source corpus.

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.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ca218d1c74d51444fc933f3b3b97949880ab9ef7

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Citations in the corpus

Holographic anatomy of fuzzballs (2006, methodology): “The details of this computationcan be found in section 6.3 of [ 47 ] with the following result”
Kaluza-Klein Holography (2006, background): “Again the correct 1-point functions include additional terms so that the total result is zero (see [8, 9, 20]).”
Chiral symmetry breaking as open string tachyon condensation (2007, methodology): “It was argued in [54] that different values of α correspond to different renormalization schemes.”
Real-time gauge/gravity duality: prescription, renormalization and examples (2008, result): “For example, the naive computation of 2-point functions of scalar operators of scaling dimension ∆ 6= d, where the infinite terms are simply dropped, leads to results that are inconsistent with Ward identities, see [22, 23, 24, 6, 25, 26] for examples and discussions of this point.”
Holographic operator mixing and quasinormal modes on the brane (2009, background): “The counterterms needed to regularize the D3/D7 quenched system were obtained in [29] and can be expressed as ∫ d(4)xSct = − ∫ d(4)x L(4) 4 √ g(4)(1− ψ(2))(2) , (3.”
Holography for Schrödinger backgrounds (2010, methodology): “The Fourier transform of the renormalized expression was computed in the appendix of [40] and is given by”
Holographic phase transitions at finite baryon density (2006, background): “Although evaluating the bulk brane action leads to a formally divergent result, the AdS/CFT correspondence provides a prescription to remove these divergences: One introduces a finite-radius UV cut-off and a set of boundary counterterms to renormalise the action [28].”
Thermodynamics of the brane (2007, background): “[36], which also introduces a finite counterterm that ensures that the brane action vanishes for the supersymmetric embedding of a D7-brane in an extremal D3-background, i.”