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 sums and operator counting and reproduced from AdS5.
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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Semi-universality of conformal higher-derivative and conformal higher-spin fields
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 sums and operator counting and reproduced from AdS5.