论文标题
弦理论对全息黑洞化学的校正
String Theory Corrections to Holographic Black Hole Chemistry
论文作者
论文摘要
在通用较高的衍生引力中,已经讨论了广告空间中热力学的批量和边界第一定律之间的联系。弦理论对超级重力的校正在批量动作中呈现较高的衍生术语,与弦乐理论参数$α'$成正比。宇宙常数的变化会导致边界理论中的“ hoft耦合”的变化。我们表明,要将批量的第一法和Smarr关系与边界方匹配,需要将批量热力学中的$α'$变化作为书籍保存设备。因此,边界第一法律和欧拉关系通过包括两个中央费用($ a $,$ c $)和/或其他化学势作为热力学变量来修改。我们考虑四个和六个衍生术语以及$ \ text {weyl}^4 $ enter(in Type IIB),以支持我们的通用结果。
The connection between the bulk and the boundary first law of thermodynamics in adS space has been discussed in generic higher derivative gravity. String theory corrections to the supergravity render higher derivative terms in the bulk action, proportional to different powers of string theory parameter $α'$. A variation in the cosmological constant induces a variation in the 't Hooft coupling in the boundary theory. We show that in order to match the bulk first law and Smarr relation with the boundary side one needs to include the variation of $α'$ in the bulk thermodynamics as a book keeping device. Accordingly, the boundary first law and Euler relation are modified with the inclusion of two central charges ($a$, $c$) and/or other chemical potentials as thermodynamic variables. We consider four and six derivative terms as well as the $\text{Weyl}^4$ terms (in type IIB) in bulk in support of our generic result.