论文标题
来自Braneworlds和全息C Theorem的更高曲线重力
Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
论文作者
论文摘要
我们研究了由ADS $ _ {D+1} $中全息重归于的高曲率引力密度的结构。在Braneworld的结构中，这种密度定义了Brane上的D维更高的重力理论，这反过来又对（D-1）维CFT是双重的。我们表明，此CFT $ _ {D-1} $在一般维度上满足全息c理论（与全息边界CFTS的G理论不同），因为在每个级别上，高质量密度都可以自行满足C Theorems。我们发现，在这些密度中，影响全息c功能的单调性的术语在曲率上是代数，并且不涉及riemann张量的协变量衍生物。我们检查了全息诱导的高曲率密度的其他各种特征，例如降低的跟踪方程的存在以及它们与出生式式式型重力拉格朗日人的联系。
We study the structure of the higher-curvature gravitational densities that are induced from holographic renormalization in AdS$_{d+1}$. In a braneworld construction, such densities define a d-dimensional higher-curvature gravitational theory on the brane, which in turn is dual to a (d-1)-dimensional CFT living at its boundary. We show that this CFT$_{d-1}$ satisfies a holographic c-theorem in general dimensions (different than the g-theorem of holographic boundary CFTs), since at each and every order the higher-curvature densities satisfy c-theorems on their own. We find that, in these densities, the terms that affect the monotonicity of the holographic c-function are algebraic in the curvature, and do not involve covariant derivatives of the Riemann tensor. We examine various other features of the holographically induced higher-curvature densities, such as the presence of reduced-order traced equations, and their connection to Born-Infeld-type gravitational Lagrangians.
