Consistent anti-de sitter-space/conformal-field-theory dual for a time-dependent finite temperature system

• Kinoshita, Shunichiro

• Mukohyama, Shinji

• Nakamura, Shin

• Oda, Kinya

Abstract

Shunichiro Kinoshita, Shinji Mukohyama, Shin Nakamura, and Kin-ya Oda. Consistent Anti–de Sitter-Space/Conformal-Field-Theory Dual for a Time-Dependent Finite Temperature System. Phys. Rev. Lett. 102, 031601, 2009. https://doi.org/10.1103/PhysRevLett.102.031601.

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.

Journal

• Physical Review Letters

  Physical Review Letters 102 (3), 031601-, 2009-01-22

  American Physical Society

Keywords

• General Physics and Astronomy

Details

• CRID: 1050299693924737536
• NII Article ID: 120006959165
• NII Book ID: AA00773679
• DOI: 10.1103/physrevlett.102.031601
• ISSN: 10797114
• ISSN: 00319007
• HANDLE: 11094/78763
• Web Site: http://link.aps.org/article/10.1103/PhysRevLett.102.031601
• Web Site: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevLett.102.031601/fulltext
• Text Lang: en
• Article Type: journal article
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