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Conductivities from attractors
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DOI：10.1007/JHEP03(2017)147.png)
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摘要
En 中文
In the context of applications of the AdS/CFT correspondence to condensed matter physics, we compute conductivities for fi eld theory duals of dyonic planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero temperature. We combine the near-horizon data obtained via Sen ' s entropy function formalism with known expressions for conductivities. In this way we express the conductivities in terms of the extremal black hole charges. We apply our approach to three different examples for dilaton theories for which the background geometry is not known explicitly. For a constant scalar potential, the thermoelectric conductivity explicitly scales as alpha(xy) similar to N-3/2, as expected. For the same model, our approach yields a finite result for the heat conductivity kappa/T alpha N-3/2 even for T -> 0.
Keyword:
AdS-CFT Correspondence
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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