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arXiv · 2010.15826

AdS one-loop partition functions from bulk and edge characters

Zimo Sun
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Abstract

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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Zimo Sun. 2020-10-29. AdS one-loop partition functions from bulk and edge characters. https://doi.org/10.1007/jhep12(2021)064

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