Work

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

Year: 2009

Type: article

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 anti-de Sitter-space/conformal-field-theory dual.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.102.031601

Authors: Shunichiro Kinoshita, Shinji Mukohyama, Shin Nakamura, Kin-ya Oda

Institution: The University of Tokyo

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Ministry of Education, Culture, Sports, Science and Technology, Korea Science and Engineering Foundation, Yukawa Institute for Theoretical Physics, Kyoto University, Japan Society for the Promotion of Science