论文标题

具有拓扑术语和熵功能的全息传输

Holographic transport with topological term and entropy function

论文作者

Nastase, Horatiu, Tiedt, Caio Luiz

论文摘要

在本文中,我们考虑了拓扑麦克斯韦项$ w(φ)f_ {μν} \ tilde f^{μν} $对2+1个维度的全息传输和热力学的效果,在重力二的情况下有一个敌对的黑洞。我们发现,对于常数$ w $,对热力学的修改很容易量化,并且仅以$σ_{xy} $影响传输。如果人们还考虑吸引人的机制,并根据电荷来编写地平线运输,那么运输系数会受到明确影响。我们还介绍了径向依赖的$ W(z)$的情况,但是在这种情况下,分析计算非常涉及。我们还考虑了这两个模型对全息传输系数的S偶性的含义。

In this paper we consider the effect of a topological Maxwell term $W(Φ)F_{μν}\tilde F^{μν}$ on holographic transport and thermodynamics in 2+1 dimensions, in the case with a dyonic black hole in the gravity dual. We find that for a constant $W$ the modifications to the thermodynamics are easily quantified, and transport is affected only for $σ_{xy}$. If one consider also the attractor mechanism, and writing the horizon transport in terms of charges, the transport coefficients are affected explicitly. We also introduce the case of case of radially dependent $W(z)$, in which case, however, analytical calculations become very involved. We also consider the implications of the two models for the S-duality of holographic transport coefficients.

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