标题： 全息三点函数来自任意维数中的高曲率引力 显示英文标题

标题： Holographic Three-Point Functions from Higher Curvature Gravities in Arbitrary Dimensions

摘要： 我们从高曲率引力中计算全息三点函数参数$\mathcal A$，$\mathcal B$，$\mathcal C$在一般$d\geqslant 4$维度下的四阶项。该结果适用于无质量以及微扰高曲率引力。 已知在四维共形场论中，$a$-电荷是$\mathcal A$、$\mathcal B$、$\mathcal C$的线性组合，我们的结果重现了这一点，但也表明对于一般的$d > 4$不存在类似的关系。 我们随后计算了$d = 6$中的 Weyl 异常，并发现所有三个$c$-电荷都是$\mathcal A$,$\mathcal B$,$\mathcal C$的线性组合，这与$a$-电荷不是这种情况是一致的。 我们还发现之前猜想的关于$t_2$,$t_4$,$h''$的关系在一般的无质量引力中不成立，但在准拓扑引力中成立，并且我们得到了缺失的系数。 显示英文摘要

摘要： We calculate the holographic three-point function parameters $\mathcal A$, $\mathcal B$, $\mathcal C$ in general $d\geqslant 4$ dimensions from higher curvature gravities up to and including the quartic order. The result is valid both for massless and perturbative higher curvature gravities. It is known that in four dimensional CFT the $a$-charge is a linear combination of $\mathcal A$, $\mathcal B$, $\mathcal C$, our result reproduces this but also shows that a similar relation does not exist for general $d > 4$. We then compute the Weyl anomaly in $d = 6$ and found all the three $c$-charges are linear combinations of $\mathcal A$, $\mathcal B$, $\mathcal C$, which is consistent with that the $a$-charge is not. We also find the previously conjectured relation between $t_2$, $t_4$, $h''$ does not hold in general massless gravities, but holds for quasi-topological ones, and we obtain the missing coefficient.