Holography and hydrodynamics for EMD theory with two Maxwell fields
arXiv:1301.6020 · doi:10.1007/JHEP03(2013)124
Abstract
We use `generalized dimensional reduction' to relate a specific Einstein-Maxwell-Dilaton (EMD) theory, including two gauge fields, three neutral scalars and an axion, to higher-dimensional AdS gravity (with no higher-dimensional Maxwell field). In general, this is a dimensional reduction over compact Einstein spaces in which the dimension of the compact space is continued to non-integral values. Specifically, we perform a non-diagonal Kaluza-Klein (KK) reduction over a torus, involving two KK gauge fields. Our aim is to determine the holographic dictionary and hydrodynamic behaviour of the lower-dimensional 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 $\hat{\z}_s / \hatη < 2(1(d-1)-\hat{c}_s^2)$, where is the speed of sound, violating a conjectured bound, but an alternative bound is satisfied.
50 pages, no figures
References in corpus (18)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Nonlinear Fluid Dynamics from Gravity
- Effective Holographic Theories for low-temperature condensed matter systems
- Exploring improved holographic theories for QCD: Part II
- Non-relativistic holography
- Metallic AdS/CFT
- Bulk viscosity of gauge theory plasma at strong coupling
- Holography of Dyonic Dilaton Black Branes
- Precision holography for non-conformal branes
- Universal hydrodynamics of non-conformal branes
- Domain Wall Holography for Finite Temperature Scaling Solutions
- Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
- Holography of charged dilatonic black branes at finite temperature
- A Novel Formula for Bulk Viscosity from the Null Horizon Focusing Equation
- Strange Metallic Behavior in Anisotropic Background
- An elementary stringy estimate of transport coefficients of large temperature QCD
- Conductivity in the anisotropic background
- A Note on Holographic Renormalization of Probe D-Branes