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arXiv 1612.07214hep-th
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轴荷平面AdS黑洞的位相

Phases of planar AdS black holes with axionic charge

Marco M. Caldarelli, Ariana Christodoulou, Ioannis Papadimitriou, Kostas Skenderis

摘要:

带有轴荷的平面AdS黑洞由于动量弛豫而具有有限的直流电导率。我们获得了一个新的家庭的精确渐近AdS $_4$黑膜标量头发,携带磁性和轴子电荷,我们研究了热力学和动力学稳定性,以及一些以前已知的电动和双音解决方案与轴子电荷和标量头发。所有的解决方案的标量头发满足混合边界条件,这导致修改的全息沃德恒等式,保守的电荷和自由能,相对于那些从更标准的Dirichlet边界条件。我们表明,适当占标量边界条件导致定义良好的第一定律和其他热力学关系。最后,我们计算了对偶标量算符的全息量子有效势,并证明了多毛黑膜的动力学稳定性等价于能量密度的正性。

英文摘要:

Planar AdS black holes with axionic charge have finite DC conductivity due to momentum relaxation. We obtain a new family of exact asymptotically AdS$_4$ black branes with scalar hair, carrying magnetic and axion charge, and we study the thermodynamics and dynamic stability of these, as well as of a number of previously known electric and dyonic solutions with axion charge and scalar hair. The scalar hair for all solutions satisfy mixed boundary conditions, which lead to modified holographic Ward identities, conserved charges and free energy, relative to those following from the more standard Dirichlet boundary conditions. We show that properly accounting for the scalar boundary conditions leads to well defined first law and other thermodynamic relations. Finally, we compute the holographic quantum effective potential for the dual scalar operator and show that dynamical stability of the hairy black branes is equivalent to positivity of the energy density.

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