Consistent Anti-de Sitter-Space/Conformal-Field-Theory Dual for a Time-Dependent Finite Temperature System

Abstract

We propose a consistent setup for the holographic dual of the strongly coupled large-Nc N=4 super Yang-Mills theory plasma which undergoes the Bjorken flow relevant to the quark-gluon plasma at BNL Relativistic Heavy Ion Collider and CERN LHC. The dual geometry is constructed order by order in a well-defined late-time expansion. The transport coefficients are determined by the regularity of the geometry. We prove, for the first time, that the dual geometry has an apparent horizon hence an event horizon, which covers a singularity at the origin. Further we prove that the dual geometry is regular to all orders in the late-time expansion under an appropriate choice of the transport coefficients. This choice is also shown to be unique. Our model serves as a concrete well-defined example of a time-dependent AdS/CFT dual.

5 pages, REVTeX, a letter version of arXiv:0807.3797. A slightly shorter version has been published in Physical Review Letters

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Cited by in corpus (15)

• New theories of relativistic hydrodynamics in the LHC era
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Conformal hydrodynamics in Minkowski and de Sitter spacetimes
• A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Dynamical black holes and expanding plasmas
• The dynamics of quark-gluon plasma and AdS/CFT
• On the apparent horizon in fluid-gravity duality
• Exact dynamical AdS black holes and wormholes with a Klein-Gordon field
• Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
• The temperature and entropy of CFT on time-dependent backgrounds
• Exact black-hole formation with a conformally coupled scalar field in three dimensions
• The Roberts-(A)dS spacetime
• Parity asymmetric boost invariant plasma in AdS/CFT correspondence
• Violation of the KSS Bound in Holographic Bjorken-Flow