%0 Generic %1 Keeler2016Partition %A Keeler, Cynthia %A Lisbao, Pedro %A Ng, Gim S. %D 2016 %K ads2, quasinormal-mode %T Partition Functions with spin in AdS\_2 via Quasinormal Mode Methods %U http://arxiv.org/abs/1601.04720 %X We extend the results of <a href="/abs/1401.7016">arXiv:1401.7016</a>, computing one loop partition functions for massive fields with spin half in AdS\_2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev in <a href="/abs/0908.2657">arXiv:0908.2657</a>. We find the finite representations of SO(2,1) for spin zero and spin half, consisting of a highest weight state |hand descendants with non-unitary values of h. These finite representations capture the poles and zeroes of the one loop determinants. Together with the asymptotic behavior of the partition functions (which can be easily computed using a large mass heat kernel expansion), these are sufficient to determine the full answer for the one loop determinants. We also discuss extensions to higher dimensional AdS\_2n and higher spins.

@misc{Keeler2016Partition, abstract = {We extend the results of <a href="/abs/1401.7016">arXiv:1401.7016</a>, computing one loop partition functions for massive fields with spin half in AdS\_2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev in <a href="/abs/0908.2657">arXiv:0908.2657</a>. We find the finite representations of SO(2,1) for spin zero and spin half, consisting of a highest weight state |h\rangle and descendants with non-unitary values of h. These finite representations capture the poles and zeroes of the one loop determinants. Together with the asymptotic behavior of the partition functions (which can be easily computed using a large mass heat kernel expansion), these are sufficient to determine the full answer for the one loop determinants. We also discuss extensions to higher dimensional AdS\_{2n} and higher spins.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Keeler, Cynthia and Lisbao, Pedro and Ng, Gim S.}, biburl = {https://www.bibsonomy.org/bibtex/26a26ae8135483676772ed870324c5640/acastro}, citeulike-article-id = {13912628}, citeulike-linkout-0 = {http://arxiv.org/abs/1601.04720}, citeulike-linkout-1 = {http://arxiv.org/pdf/1601.04720}, day = 6, eprint = {1601.04720}, interhash = {c68aae252c3029b45f1c9946baa05060}, intrahash = {6a26ae8135483676772ed870324c5640}, keywords = {ads2, quasinormal-mode}, month = sep, posted-at = {2016-08-04 14:22:23}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Partition Functions with spin in AdS\_2 via Quasinormal Mode Methods}}, url = {http://arxiv.org/abs/1601.04720}, year = 2016 }