论文标题

广告一环分区功能来自散装和边缘字符

AdS one-loop partition functions from bulk and edge characters

论文作者

Sun, Zimo

论文摘要

我们表明,$(d+1)$ - 尺寸抗DE保姆时空的任何较高自旋场的单环分区功能可以表示为$ \ text {so}(so}(2,d)$ bulk字符和$ \ text {so}(so}(so}(so}(2,d-2)))(2,d-2,d-2)$ edge exge charnation的积分转换。我们将此角色积分公式应用于各种高旋转的Vasiliev重力,并在散装字符和边缘字符之间发现奇迹般的(几乎)取消(几乎)取消,这导致与HS/CFT全息图的预测一致。我们还讨论了字符积分表示与Rindler-ADS热分区函数之间的关系。

We show that the one-loop partition function of any higher spin field in $(d+1)$-dimensional Anti-de Sitter spacetime can be expressed as an integral transform of an $\text{SO}(2,d)$ bulk character and an $\text{SO}(2,d-2)$ edge character. We apply this character integral formula to various higher-spin Vasiliev gravities and find miraculous (almost) cancellations between bulk and edge characters that lead to agreement with the predictions of HS/CFT holography. We also discuss about the relation between the character integral representation and Rindler-AdS thermal partition function.

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