Partition functions with spin in AdS2 via quasinormal mode methods
We extend the results of [1], 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 [2]. We find the finite representations of SO(2,1) for spin zero and spin half, consisting of a highest weight state hi and descendants with nonunitary 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.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
 Univ. of Michigan, Ann Arbor, MI (United States)
 McGill Univ., Montreal, QC (Canada)
 Publication Date:
 Grant/Contract Number:
 SC0007859
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Michigan, Ann Arbor, MI (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1425874
Keeler, Cynthia, Lisbão, Pedro, and Ng, Gim Seng. Partition functions with spin in AdS2 via quasinormal mode methods. United States: N. p.,
Web. doi:10.1007/JHEP10(2016)060.
Keeler, Cynthia, Lisbão, Pedro, & Ng, Gim Seng. Partition functions with spin in AdS2 via quasinormal mode methods. United States. doi:10.1007/JHEP10(2016)060.
Keeler, Cynthia, Lisbão, Pedro, and Ng, Gim Seng. 2016.
"Partition functions with spin in AdS2 via quasinormal mode methods". United States.
doi:10.1007/JHEP10(2016)060. https://www.osti.gov/servlets/purl/1425874.
@article{osti_1425874,
title = {Partition functions with spin in AdS2 via quasinormal mode methods},
author = {Keeler, Cynthia and Lisbão, Pedro and Ng, Gim Seng},
abstractNote = {We extend the results of [1], computing one loop partition functions for massive fields with spin half in AdS2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev [2]. We find the finite representations of SO(2,1) for spin zero and spin half, consisting of a highest weight state hi and descendants with nonunitary 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 AdS2n and higher spins.},
doi = {10.1007/JHEP10(2016)060},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}