International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS HOLOGRAPHIC NONLINEAR HYDRODYNAMICS FROM AdS / CFT WITH MULTIPLE / NON-ABELIAN SYMMETRIES

International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS HOLOGRAPHIC NONLINEAR HYDRODYNAMICS FROM AdS / CFT WITH MULTIPLE / NON-ABELIAN SYMMETRIES
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发表时间:
2009
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通讯作者:
M. Torabian;Ho-Ung Yee
M. Torabian;Ho-Ung Yee
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其他
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作者:
M. Torabian;Ho-Ung Yee

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我们在 AdS/CFT 对应框架中研究具有多重/非阿贝尔对称性的热共形场论等离子体的粘性流体动力学,使用最近提出的直接求解局部等离子体参数导数展开中的体积重力的方法。我们的动机是更好地描述 RHIC 产生的真实 QCD 等离子体,结合其 U(1)Nf 风味对称性以及 SU(2)I 非阿贝尔同自旋对称性。作为具体例子,我们选择研究多个 U(1)3 对称性的 STU 模型,它是 5D N=4 规范 SUGRA 对偶 N=4 Super Yang-Mills 理论的子部分,捕获完整 R 对称性内的 Cartan U(1)3 动力学。对于 SU(2),我们分析了最小 4D N=3 规范 SUGRA,其玻色子作用只是一个 Einstein-Yang-Mills 系统,对应于 Hyper-Kahler 锥体 M2 膜上的 SU(2) R 对称动力学。通过将玻色子作用推广到任意维度和李群,我们展示了对任意维度的任何非阿贝尔等离子体的分析和结果。米拉马雷 – 的里雅斯特 2009 年 4 月 mahdi@ictp.it hyee@ictp.it
We study viscous hydrodynamics of hot conformal field theory plasma with multiple/nonAbelian symmetries in the framework of AdS/CFT correspondence, using a recently proposed method of directly solving bulk gravity in derivative expansion of local plasma parameters. Our motivation is to better describe the real QCD plasma produced at RHIC, incorporating its U(1)Nf flavor symmetry as well as SU(2)I non-Abelian iso-spin symmetry. As concrete examples, we choose to study the STU model for multiple U(1)3 symmetries, which is a sub-sector of 5D N=4 gauged SUGRA dual to N=4 Super Yang-Mills theory, capturing Cartan U(1)3 dynamics inside the full R-symmetry. For SU(2), we analyze the minimal 4D N=3 gauged SUGRA whose bosonic action is simply an Einstein-Yang-Mills system, which corresponds to SU(2) R-symmetry dynamics on M2-branes at a Hyper-Kahler cone. By generalizing the bosonic action to arbitrary dimensions and Lie groups, we present our analysis and results for any non-Abelian plasma in arbitrary dimensions. MIRAMARE – TRIESTE April 2009 mahdi@ictp.it hyee@ictp.it