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AdS one-loop partition functions from bulk and edge characters

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arxiv 2010.15826 v1 pith:5QH2VP3N submitted 2020-10-29 hep-th

Zimo Sun This is my paper · ORCID
classification hep-th
keywords characterbulkedgeintegralpartitioncharactersfunctionone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Edge Modes on Stringy Horizons

    hep-th 2026-01 conditional novelty 7.0 of 10

    Summing Harish-Chandra character edge terms over the full string tower gives a modular-invariant, UV-finite Rindler-horizon edge partition function (Eq. 38).

  2. Bulk-boundary entanglement correspondence and the Ryu-Takayanagi conjecture in an $AdS_2/CFT_1$ setup

    hep-th 2025-02 conditional novelty 4.0 of 10

    For a free scalar plus Majorana field in AdS2, boundary thermofield-double entanglement entropy matches, up to additive constants, the bulk horizon entanglement entropy and the log of a near-boundary geodesic length.

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