双曲柱体和纠缠熵：引力子，更高自旋，$p$ -形式
Hyperbolic cylinders and entanglement entropy: gravitons, higher spins, $p$-forms
摘要：
我们证明了最近由Benedetti和Casini计算的$D=4$线性化引力子在球体上的纠缠熵与在$S^1\times AdS_3$上使用无痕横向大质量自旋2场的Kaluza-Klein塔得到的结果一致。$S^1$上的常数模的质量使$AdS_3$中的Brietenholer-Freedman束缚饱和。这个条件也确保了由双曲柱上的配分函数确定的更高自旋的纠缠熵与他们最近的猜想一致。从2-形式对$S^1\times AdS_5$和固定规范的作用出发，计算了球上的纠缠熵以及相应的扭曲算符的维数。我们证明，相应的扭曲算子的共形尺寸同意使用的应力张量的期望值的副本锥。对于共形$p$ -形式在偶数维它服从预期的关系系数确定$3$ -点函数的应力张量的这些领域。
英文摘要：
We show that the entanglement entropy of $D=4$ linearized gravitons across a sphere recently computed by Benedetti and Casini coincides with that obtained using the Kaluza-Klein tower of traceless transverse massive spin-2 fields on $S^1\times AdS_3$. The mass of the constant mode on $S^1$ saturates the Brietenholer-Freedman bound in $AdS_3$. This condition also ensures that the entanglement entropy of higher spins determined from partition functions on the hyperbolic cylinder coincides with their recent conjecture. Starting from the action of the 2-form on $S^1\times AdS_5$ and fixing gauge, we evaluate the entanglement entropy across a sphere as well as the dimensions of the corresponding twist operator. We demonstrate that the conformal dimensions of the corresponding twist operator agrees with that obtained using the expectation value of the stress tensor on the replica cone. For conformal $p$-forms in even dimensions it obeys the expected relations with the coefficients determining the $3$-point function of the stress tensor of these fields.
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