Precision holography for non-conformal branes

By Ingmar Kanitscheider, Kostas Skenderis, Marika Taylor. Journal of High Energy Physics, 2008

251 citations recorded by the source corpus.

We set up precision holography for the non-conformal branes preserving 16 supersymmetries. The near-horizon limit of all such p-brane solutions with p ? 4, including the case of fundamental string solutions, is conformal to AdSp+2 ? S8?p with a linear dilaton. We develop holographic renormalization for all these cases. In particular, we obtain the most general asymptotic solutions with appropriate Dirichlet boundary conditions, find the corresponding counterterms and compute the holographic 1-point functions, all in complete generality and at the full non-linear level. The result for the stress energy tensor properly defines the notion of mass for backgrounds with such asymptotics. The analysis is done both in the original formulation of the method and also using a radial Hamiltonian analysis. The latter formulation exhibits most clearly the existence of an underlying generalized conformal structure. In the cases of Dp-branes, the corresponding dual boundary theory, the maximally supersymmetric Yang-Mills theory SYMp+1, indeed exhibits the generalized conformal structure found at strong coupling. We compute the holographic 2-point functions of the stress energy tensor and gluon operator and show they satisfy the expected Ward identities and the constraints of generalized conformal structure. The holographic results are also manifestly compatible with the M-theory uplift, with the asymptotic solutions, counterterms, one and two point functions etc. of the IIA F1 and D4 appropriately descending from those of M2 and M5 branes, respectively. We present a few applications including the computation of condensates in Witten's model of holographic YM{}4 theory.

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

View Paper: https://www.semanticscholar.org/paper/86bf35bfee0f9dddf538ea67c11146965d8e4af2

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Citations in the corpus

Universal hydrodynamics of non-conformal branes (2009, background): “Furthermore we note that in (3.5), the bulk viscosity ζd is determined by the shear viscosity ηd.”
Generalized holographic quantum criticality at finite density (2011, methodology): “Not surprisingly, this metric is that of an AdSp+q+1 -Schwarzschild black-hole, [30, 18, 19, 17]:”
Holographic renormalization of general dilaton-axion gravity (2011, methodology): “These include the analyses of the dictionary for non-conformal branes [3, 4] and for Schrödinger backgrounds [5].”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, background): “The reduction suggests (see also [42]) that the 4-dimensional asymptotic expansions are naturally formulated in a non-radial gauge.”
AdS2 holographic dictionary (2016, methodology): “A holographic description of the asymptotically conformally AdS2×S2 or AdS2×S3 subtracted geometries requires a Kaluza-Klein reduction on the compact manifold, in direct analogy with coincident Dp branes which are asymptotically conformal to AdSp+2 × S8−p [49, 50].”
M5-Branes, D4-Branes and quantum 5D super-Yang-Mills (2010, methodology): “In addition, holographic renormalisation of Dp-brane theories behaves in qualitatively the same way for p = 1, 2, 3, 4 [24].”
Lifshitz holography (2015, background): “In this case one therefore chooses the renormalization scheme to respect the ultraviolet fixed point symmetries, and one can therefore not absorb the logarithmic divergences into the running dilation: the theory does have a Weyl anomaly, inherited from the (2, 0) theory [133].”