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Partition Functions for Higher-Spin theories in AdS

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arxiv 1205.1130 v3 pith:GPX2MOTH submitted 2012-05-05 hep-th

Rajesh Kumar Gupta , Shailesh Lal This is my paper · ORCID
classification hep-th
keywords functionpartitionone-loopresultstheoryvasilievalgebraanswer
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We calculate the one-loop partition function for a massless arbitrary-spin field on quotients of a general dimensional AdS background using the results of arXiv:1103.3627. We use these results to compute the one-loop partition function for a Vasiliev theory in AdS_5. An interesting form of the answer, suggestive of a vacuum character of an enhanced symmetry algebra is obtained. We also observe a close connection between the partition function for this Vasiliev theory and the d-dimensional MacMahon function.

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Cited by 2 Pith papers

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  1. Neumann scalars in AdS: partition functions and phases

    hep-th 2026-07 conditional novelty 6.0 of 10

    Neumann scalars in AdS admit one-loop partition functions obtained by contour deformation from the Dirichlet result; the stricter unitarity bound then yields qualitatively different phase diagrams that are corroborate...

  2. Semi-universality of conformal higher-derivative and conformal higher-spin fields

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Thermal partition functions of conformal higher-derivative and higher-spin fields develop universal poles in (1-|ω_i|) in the semi-universal limit, with residues sensitive to negative-twist states, verified via mode s...

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