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Partition functions for higher-spin theories in AdS

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Abstract

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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Authors and Affiliations

  1. NIKHEF Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands

    Rajesh Kumar Gupta

  2. Harish-Chandra Research Institute, Chhatnag Road, Jhusi, 211019, India

    Shailesh Lal

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  1. Rajesh Kumar Gupta
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  2. Shailesh Lal
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Correspondence to Rajesh Kumar Gupta.

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Gupta, R.K., Lal, S. Partition functions for higher-spin theories in AdS. J. High Energ. Phys. 2012, 71 (2012). https://doi.org/10.1007/JHEP07(2012)071

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