Peculiar properties of a charged dilatonic black hole in AdS 5
Peculiar properties of a charged dilatonic black hole in AdS 5
复制标题
DOI：
10.1103/physrevd.81.046001
复制
发表时间：
2009-11
影响因子：
5
通讯作者：
S. Gubser;F. Rocha
中科院分区：
文献类型：
--
作者：
S. Gubser;F. Rocha
我们研究了AdS{sub 5}中的荷电双光子黑洞，它是由一个包含一个规范场的拉格朗日量导出的，该规范场的动力学项由一个中性标量的指数修正。这个黑洞有两个性质，人们可能合理地要求费米液体的对偶：它的熵在低温下与温度成正比，它的极端极限支持无质量的带电体费米子的正常模式。我们研究的黑洞具有简单的解析形式，因为它可以嵌入IIB型弦理论，作为在三个独立横平面中的两个中具有相等自旋的D3-膜的近视界极限。两个进一步的属性可以推导出从这个嵌入：有一个热力学不稳定性，让人想起铁磁性，在低温下，有一个AdS{sub 3}因子在极端的近地平线的几何形状，占熵对温度的线性依赖。总而言之，我们研究的玻色子黑洞，或者它在红外线中具有类似行为的相对黑洞，似乎是费米液体的对偶;然而，我们考虑的弦理论中的特定嵌入不太可能有这样的对偶描述，除非通过一些意想不到的玻色子-费米等价。«少
We study a charged dilatonic black hole in AdS{sub 5}, derived from a Lagrangian involving a gauge field whose kinetic term is modified by the exponential of a neutral scalar. This black hole has two properties which one might reasonably demand of the dual of a Fermi liquid: Its entropy is proportional to temperature at low temperature, and its extremal limit supports normal modes of massless, charged bulk fermions. The black hole we study has a simple analytic form because it can be embedded in type IIB string theory as the near-horizon limit of D3-branes with equal spins in two of the three independent transverse planes. Two further properties can be deduced from this embedding: There is a thermodynamic instability, reminiscent of ferromagnetism, at low temperatures; and there is an AdS{sub 3} factor in the extremal near-horizon geometry which accounts for the linear dependence of entropy on temperature. Altogether, it is plausible that the dilatonic black hole we study, or a relative of it with similar behavior in the infrared, is the dual of a Fermi liquid; however, the particular embedding in string theory that we consider is unlikely to have such a dual description, unless through some unexpected boson-fermionmore » equivalence at large N.« less