Partition Functions for Higher-Spin theories in AdS
High Energy Physics - Theory
2015-06-05 v3
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.
Cite
@article{arxiv.1205.1130,
title = {Partition Functions for Higher-Spin theories in AdS},
author = {Rajesh Kumar Gupta and Shailesh Lal},
journal= {arXiv preprint arXiv:1205.1130},
year = {2015}
}
Comments
14 pages, preprint number and acknowledgement added