论文标题
全息一致性和高斯河网参数的符号
Holographic Consistency and the Sign of the Gauss-Bonnet Parameter
论文作者
论文摘要
如果将Einstein-Gauss-Bonnet重力作为弦理论的低能限制获得，那么高斯 - 基因网参数$α$本质上是反弦张力，因此一定是正面的。如果人们将爱因斯坦 - 加斯 - 骨网络重力视为在全息图的自下而上方法中反de保姆中的重力理论，那么对先验参数的迹象没有明显的限制，尽管涉及边界因果关系的各种研究限制了$ $α$的可能范围。在此简短的说法中，我们认为，如果要保持一致，则高斯 - 基因网络参数必须为正。这是从欧几里得图片中的几何一致性条件中得出的。从洛伦兹的签名角度来看，负$α$的黑色孔会导致散装中不受控制的brane核，因此据说静态的几何形状是站不住的。实际上，即使没有黑洞的基态也是有问题的。换句话说，自下而上的方法与参数符号上自上而下的方法一致。讨论了结论的一些可能的漏洞。
If Einstein-Gauss-Bonnet gravity is obtained as a low energy limit of string theory, then the Gauss-Bonnet parameter $α$ is essentially the inverse string tension and thus necessarily positive. If one treats Einstein-Gauss-Bonnet gravity as a modified theory of gravity in the anti-de Sitter bulk in the bottom-up approach of holography, then there is no obvious restriction on the sign of the parameter a priori, though various studies involving boundary causality have restricted the possible range of $α$. In this short note, we argue that if holographic descriptions are to be consistent, then the Gauss-Bonnet parameter has to be positive. This follows from a geometric consistency condition in the Euclidean picture. From the Lorentzian signature perspective, black holes with a negative $α$ lead to uncontrolled brane nucleation in the bulk and so the supposedly static geometry is untenable. In fact, even the ground state without a black hole is problematic. In other words, the bottom-up approach agrees with the top-down approach on the sign of the parameter. Some possible loopholes of the conclusion are discussed.
