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Title: 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 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.
Authors:
 [1] ;  [2] ;  [3]
  1. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
  2. Univ. of Michigan, Ann Arbor, MI (United States)
  3. 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 1029-8479
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 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 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}
}