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Universal hydrodynamics of nonconformal branes
"... We examine the hydrodynamic limit of nonconformal branes using the recently developed precise holographic dictionary. We first streamline the discussion of holography for backgrounds that asymptote locally to nonconformal brane solutions by showing that all such solutions can be obtained from high ..."
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We examine the hydrodynamic limit of nonconformal branes using the recently developed precise holographic dictionary. We first streamline the discussion of holography for backgrounds that asymptote locally to nonconformal brane solutions by showing that all such solutions can be obtained from higher dimensional asymptotically locally AdS solutions by suitable dimensional reduction and continuation in the dimension. As a consequence, many holographic results for such backgrounds follow from the corresponding results of the Asymptotically AdS case. In particular, the hydrodynamics of nonconformal branes is fully determined in terms of conformal hydrodynamics. Using previous results on the latter we predict the form of the nonconformal hydrodynamic stress tensor to second order in derivatives. Furthermore we show that the ratio between bulk and shear viscosity is fixed by the generalized conformal structure to be ζ/η = 2(1/(d − 1) − c2 s), where cs is the speed The AdS/CFT correspondence provides a powerful tool to study strongly coupled quantum field theories. In particular, it has become possible to explore strongly coupled finite temperature
Domain Wall Holography for Finite Temperature Scaling Solutions
 JHEP
"... We investigate a class of nearextremal solutions of EinsteinMaxwellscalar theory with electric charge and power law scaling, dual to charged IR phases of relativistic field theories at low temperature. These are exact solutions of theories with domain wall vacua; hence, we use nonconformal hologr ..."
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Cited by 33 (1 self)
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We investigate a class of nearextremal solutions of EinsteinMaxwellscalar theory with electric charge and power law scaling, dual to charged IR phases of relativistic field theories at low temperature. These are exact solutions of theories with domain wall vacua; hence, we use nonconformal holography to relate the bulk and boundary theories. We numerically construct a global interpolating solution between the IR charged solutions and the UV domain wall vacua for arbitrary physical choices of Lagrangian parameters. By passing to a conformal frame in which the domain wall metric becomes that of AdS, we uncover a generalized scale invariance of the IR scaling solution, indicating a connection to the physics of Lifshitz fixed points. Finally, guided by effective field theoretic principles and the physics of nonconformal Dbranes, we argue for the applicability of domain wall holography even in theories with AdS critical points, namely those theories for which a scalar potential is dominated by a single exponential term over a large range.
Holography for chiral scaleinvariant models
 JHEP 1102 (2011) 082, arXiv:1010.4800 [hepth
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Cosmological 3point correlators from holography
 JCAP 1106 (2011) 030, [arXiv:1104.3894]. – 25
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arXiv:0903.xxxx A Note on Holographic Renormalization of Probe DBranes
, 903
"... A great deal of progress has been recently made in the study of holography for nonconformal branes. Considering the nearhorizon limit of backgrounds generated by such branes, we discuss the holographic renormalization of probe Dbranes in these geometries. More specifically, we discuss in some det ..."
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Cited by 8 (2 self)
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A great deal of progress has been recently made in the study of holography for nonconformal branes. Considering the nearhorizon limit of backgrounds generated by such branes, we discuss the holographic renormalization of probe Dbranes in these geometries. More specifically, we discuss in some detail systems with a codimensionone defect. For this class of systems, the mode which describes the probe branes wrapping a maximal S2 in the transverse space behaves like a free massive scalar propagating in a higherdimensional (asymptotically) AdSq + 1space. The counterterms needed are then the ones of a free massive scalar in asymptotically AdSq+1. The original problem can be recovered by compactifying the asymptotically AdSspace on a torus and finally performing the analytic continuation of q to the value of interest, which can be fractional. We compute the onepoint correlator for the operator dual to the embedding function. We finally comment on holographic renormalization in the more general cases of codimensionk defects (k = 0, 1, 2). In all the cases the embedding function exhibits the behaviour of a free massive scalar in an AdSspace and, therefore, the procedure outlined before can be straightforwardly applied. Our analysis completes the discussion of
A universal fermionic analogue of the shear viscosity
, 2013
"... We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3branes to M2 and M5brane theories. We consider the case of vanishing ..."
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Cited by 6 (0 self)
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We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3branes to M2 and M5brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of η/s. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding Dpbrane diffusion constants.
Holography and hydrodynamics for EMD theory with two Maxwell fields, JHEP 1303
, 2013
"... We use ‘generalized dimensional reduction ’ to relate a specific EinsteinMaxwellDilaton (EMD) theory, including two gauge fields, three neutral scalars and an axion, to higherdimensional AdS gravity (with no higherdimensional Maxwell field). In general, this is a dimensional reduction over compa ..."
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Cited by 6 (0 self)
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We use ‘generalized dimensional reduction ’ to relate a specific EinsteinMaxwellDilaton (EMD) theory, including two gauge fields, three neutral scalars and an axion, to higherdimensional AdS gravity (with no higherdimensional Maxwell field). In general, this is a dimensional reduction over compact Einstein spaces in which the dimension of the compact space is continued to nonintegral values. Specifically, we perform a nondiagonal KaluzaKlein (KK) reduction over a torus, involving two KK gauge fields. Our aim is to determine the holographic dictionary and hydrodynamic behaviour of the lowerdimensional theory by performing the generalized dimensional reduction on AdS. We study a specific example of a black brane carrying a wave, whose universal sector is described by gravity coupled to two Maxwell fields, three neutral scalars and an axion, and compute the first order transport coefficients of the dual theory. In these theories ζ̂s/η ̂ < 2 1/(d − 1) − ĉ2s, where ĉs is the speed of sound, violating a conjectured bound, but an alternative bound is satisfied. 1 ar