Holography of dyonic dilaton black branes
Holography of dyonic dilaton black branes
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DOI：
10.1007/jhep10(2010)027
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发表时间：
2010-07
影响因子：
5.4
通讯作者：
Kevin Goldstein;Norihiro Iizuka;S. Kachru;S. Prakash;S. Trivedi;A. Westphal
中科院分区：
文献类型：
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作者：
Kevin Goldstein;Norihiro Iizuka;S. Kachru;S. Prakash;S. Trivedi;A. Westphal
本文研究了在渐近反德西特空间中，爱因斯坦-麦克斯韦理论中与介子-轴子耦合的同时带有电荷和磁荷的黑膜。在回顾和推广了荷电膜的早期结果之后，我们讨论了磁荷电膜的热力学。然后，我们集中在理论中的双子膜享有SL（2，R）的电磁对偶。使用SL（2，R），我们能够生成从带电溶液开始的具有任意电荷的溶液，并且还计算输运系数。这些解都表现出类似Lifshitz的近视界几何。该系统的行为如预期的带电流体在磁场中，在低温下具有非零霍尔电导和消失的DC纵向电导率。其响应的特征在于在小磁场下，在与磁场成比例的频率下的回旋共振。有趣的是，直流霍尔电导与轴子的吸引子值有关。我们还研究了吸引子流的介子轴子，无论是在有和没有一个额外的模不变标量势的情况下。流动表现出与对偶对称性有关的复杂行为。最后，我们简要地讨论吸引流在更一般的介子-轴子理论，不享有SL（2，R）对称性。
We study black branes carrying both electric and magnetic charges in Einstein-Maxwell theory coupled to a dilaton-axion in asymptotically anti de Sitter space. After reviewing and extending earlier results for the case of electrically charged branes, we characterise the thermodynamics of magnetically charged branes. We then focus on dyonic branes in theories which enjoy an SL (2, R) electric-magnetic duality. Using SL (2, R), we are able to generate solutions with arbitrary charges starting with the electrically charged solution, and also calculate transport coefficients. These solutions all exhibit a Lifshitz-like near-horizon geometry. The system behaves as expected for a charged fluid in a magnetic field, with non-vanishing Hall conductance and vanishing DC longitudinal conductivity at low temperatures. Its response is characterised by a cyclotron resonance at a frequency proportional to the magnetic field, for small magnetic fields. Interestingly, the DC Hall conductance is related to the attractor value of the axion. We also study the attractor flows of the dilaton-axion, both in cases with and without an additional modular-invariant scalar potential. The flows exhibit intricate behaviour related to the duality symmetry. Finally, we briefly discuss attractor flows in more general dilaton-axion theories which do not enjoy SL (2, R) symmetry.