论文标题
3D Lovelock Gravity和全息C Theorem
3D Lovelock Gravity and the Holographic c-Theorem
论文作者
论文摘要
我们表明，以严格的$ d \至3 $ lovelock Gravity的限制到立方顺序的标量调整理论承认了全息c理论，并验证了uv固定点在uv固定点与Weyl Anomaly系数匹配的值是否与Weyl Anomaly系数匹配（提高到不相关的因子）。构造的C函数与从“天真限制”中遵循的C函数相同，该函数是通过将耦合缩放为$ \ frac {1} {d-3} $而获得的，然后设置$ d = 3 $。
We show that the scalar-tensor theory that arises in a rigorous $D \to 3$ limit of Lovelock gravity up to cubic order admits a holographic c-theorem and verify that the value of the c-function at the UV fixed point matches with the Weyl anomaly coefficient (up to an irrelevant factor). The constructed c-function is the same as one that follows from the "naive limit", which is obtained by scaling the couplings by a factor of $\frac{1}{D-3}$, and then setting $D=3$.
