From AdS/CFT correspondence to hydrodynamics, II. Sound waves
Journal of High Energy Physics 6:12 (2002) 1175-1190
Abstract:
As a non-trivial check of the non-supersymmetric gauge/gravity duality, we use a near-extremal black brane background to compute the retarded Green's functions of the stress-energy tensor in N = 4 super-Yang-Mills (SYM) theory at finite temperature. For the long-distance, low-frequency modes of the diagonal components of the stress-energy tensor, hydrodynamics predicts the existence of a pole in the correlators corresponding to propagation of sound waves in the N = 4 SYM plasma. The retarded Green's functions obtained from gravity do indeed exhibit this pole, with the correct values for the sound speed and the rate of attenuation. © SISSA/ISAS 2003.From AdS/CFT correspondence to hydrodynamics
Journal of High Energy Physics 6:9 (2002) 881-896
Abstract:
We compute the correlation functions of R-charge currents and components of the stress-energy tensor in the strongly coupled large-N finite-temperature N = 4 supersymmetric Yang-Mills theory, following a recently formulated minkowskian AdS/CFT prescription. We observe that in the long-distance, low-frequency limit, such correlators have the form dictated by hydrodynamics. We deduce from the calculations the R-charge diffusion constant and the shear viscosity. The value for the latter is in agreement with an earlier calculation based on the Kubo formula and absorption by black branes. © SISSA/ISAS 2002.Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications
Journal of High Energy Physics 6:9 (2002) 857-880
Abstract:
We formulate a prescription for computing Minkowski-space correlators from AdS/CFT correspondence. This prescription is shown to give the correct retarded propagators at zero temperature in four dimensions, as well as at finite temperature in the two-dimensional conformal field theory dual to the BTZ black hole. Using the prescription, we calculate the Chern-Simons diffusion constant of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the strong coupling limit. We explain why the quasi-normal frequencies of the asymptotically AdS background correspond to the poles of the retarded Green's function of the boundary conformal field theory. © SISSA/ISAS 2002.On the graviton self energy in AdS4
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 532:1-2 (2002) 48-54
Abstract:
We consider Einstein gravity coupled to a CFT made of a single free conformal scalar in AdS4. This simple case is rich enough to explain an unexpected gravitational Higgs phenomenon that has no flat-space counterpart, yet simple enough that many calculations can be carried on exactly. Specifically, in this Letter we compute the graviton self energy due to matter, and we exhibit its spectral representation. This enables us to find the spin-2 bound-state content of the system. © 2002 Elsevier Science B.V. All rights reserved.Quasinormal modes of near extremal black branes
Physical Review D - Particles, Fields, Gravitation and Cosmology 66:12 (2002)