Instabilities of the small black hole:: a view from N=4 SYM
Instabilities of the small black hole:: a view from N=4 SYM
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DOI：
10.1088/1126-6708/2007/01/001
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发表时间：
2007-01-01
影响因子：
5.4
通讯作者：
Naqvi, Asad
中科院分区：
文献类型：
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作者：
Hollowood, Timothy;Kumar, S. Prem;Naqvi, Asad
在有限温度和弱t - Hooft耦合条件下，计算了S-3上N = 4 SYM的标量和Polyakov环矩阵的常模态的单回路有效作用。在临界温度以上，有效势发展出新的不稳定方向并伴有新的鞍点，鞍点只保留SO(6)全局r对称的SO(5)亚群。我们将这种现象确定为强耦合场论引力对偶中众所周知的Gregory-Laflamme局域不稳定性的弱耦合版本：当将小AdS(5)黑洞视为十维时，涂抹在S-5上的渐近AdS(5) x S-5解对S-5的局域不稳定。我们的有效势，在一个特定的洛伦兹延拓中，可以提供一个定性的全息描述，描述“拓扑黑洞”衰变为虚无的AdS泡。
We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N = 4 SYM on S-3 at finite temperature and weak 't Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which only preserve an SO(5) subgroup of the SO(6) global R-symmetry. We identify this phenomenon as the weak coupling version of the well known Gregory-Laflamme localization instability in the gravity dual of the strongly coupled field theory: The small AdS(5) black hole when viewed as a ten dimensional, asymptotically AdS(5) x S-5 solution smeared on the S-5 is unstable to localization on S-5. Our effective potential, in a specific Lorentzian continuation, can provide a qualitative holographic description of the decay of the "topological black hole" into the AdS bubble of nothing.