论文标题
延长的Sugra中的精确全息RG流动
Exact holographic RG flows in extended SUGRA
论文作者
论文摘要
我们介绍了一个精确的平面毛状中性黑洞解决方案，其中包括延长的超级实力，并带有fayet-iliopoulos（FI）术语。我们考虑了一个模型，其中FI部门的磁部分消失并在有限温度下以分析形式获得超电势。然后，我们讨论这些溶液的热力学和一些全息特性。我们通过两种不同的方法将动作正规化，一种是具有重力和标量对抗的方法，另一种使用热超电势作为反术，然后计算全息应力张量。我们还构建了相应的RG流的$ C $功能，并为此模型获得了精确的全息$β$功能。
We present a family of exact planar hairy neutral black hole solutions in extended supergravity with Fayet-Iliopoulos (FI) terms. We consider a model where the magnetic part of FI sector vanishes and obtain the superpotential at finite temperature in analytic form. Then, we discuss the thermodynamics and some holographic properties of these solutions. We regularize the action by two different methods, one with gravitational and scalar counterterms and the other using the thermal superpotential as a counterterm, and compute the holographic stress tensor. We also construct the $c$-function of the corresponding RG flow and obtain an exact holographic $β$-function for this model.
