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

TL;DR

This paper constructs a consistent holographic dual for a time-dependent, strongly coupled plasma undergoing Bjorken flow, demonstrating the existence of a regular dual geometry with horizons that models quark-gluon plasma dynamics.

Contribution

It provides the first explicit construction of a regular, time-dependent AdS/CFT dual geometry with horizons for a plasma undergoing Bjorken flow, including a proof of regularity and uniqueness.

Findings

Dual geometry has an apparent and event horizon covering a singularity.

Geometry is regular to all orders in late-time expansion with unique transport coefficients.

Model serves as a concrete example of a time-dependent AdS/CFT dual.

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.